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'''900''' ('''nine hundred''') is the [[natural number]] following [[899 (number)|899]] and preceding 901. It is the square of [[30 (number)|30]] and the sum of [[Euler's totient function]] for the first 54 integers. In base 10 it is a [[Harshad number]].
'''900''' ('''nine hundred''') is the [[natural number]] following [[899 (number)|899]] and preceding [[901 (number)|901]]. It is the square of [[30 (number)|30]] and the sum of [[Euler's totient function]] for the first 54 integers. In base 10 it is a [[Harshad number]].


'''Nine hundred''' is also:
'''Nine hundred''' is also:

Revision as of 20:16, 20 October 2015

For the year 900, see 900 BC and 900 AD.
← 299 300 301 →
Cardinalthree hundred
Ordinal300th
(three hundredth)
Factorization22 × 3 × 52
Divisors1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greek numeralΤ´
Roman numeralCCC
Unicode symbol(s)CM, cm
Binary1001011002
Ternary1020103
Senary12206
Octal4548
Duodecimal21012
Hexadecimal12C16

900 (nine hundred) is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 integers. In base 10 it is a Harshad number.

Nine hundred is also:

901 = 17 × 53, happy number

902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number

903 = 3 × 7 × 43, sphenic number, triangular number, Schröder–Hipparchus number, Mertens function (903) returns 0

904 = 23 × 113 or 113x8, Mertens function(904) returns 0

905 = 5 × 181, sum of seven consecutive primes (109 + 113 + 127 + 131 + 137 + 139 + 149)

906 = 2 × 3 × 151, sphenic number, Mertens function(906) returns 0

907 prime number

908 = 22 × 227, nontotient

909 = 32 × 101

910 = 2 × 5 × 7 × 13, Mertens function(910) returns 0, Harshad number, happy number

911 = prime number, has its own page

912 = 24 × 3 × 19, sum of four consecutive primes (223 + 227 + 229 + 233), sum of ten consecutive primes (71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109), Harshad number.

913 = 11 × 83, Smith number, Mertens function(913) returns 0.

  • After escaping the Jedi purge, Obi-Wan Kenobi transmitted a 913 emergency transmission.

914 = 2 × 457, nontotient

915 = 3 × 5 × 61, sphenic number, Smith number, Mertens function(915) returns 0, Harshad number

916 = 22 × 229, Mertens function(916) returns 0, nontotient, member of the Mian–Chowla sequence

917 = 7 × 131, sum of five consecutive primes (173 + 179 + 181 + 191 + 193)

918 = 2 × 33 × 17, Harshad number

919 prime number, cuban prime, Chen prime, palindromic prime, centered hexagonal number, happy number, Mertens function(919) returns 0

920 = 23 × 5 × 23, Mertens function(920) returns 0

921 = 3 × 307

922 = 2 × 461, nontotient, Smith number

923 = 13 × 71

924 = 22 × 3 × 7 × 11, sum of a twin prime (461 + 463), central binomial coefficient

925 = 52 × 37, pentagonal number, centered square number

926 = 2 × 463, sum of six consecutive primes (139 + 149 + 151 + 157 + 163 + 167), nontotient

927 = 32 × 103, tribonacci number

928 = 25 × 29, sum of four consecutive primes (227 + 229 + 233 + 239), sum of eight consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131 + 137), happy number

929 prime number, Proth prime, palindromic prime, sum of nine consecutive primes (83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127), Eisenstein prime with no imaginary part

It is the number of an area code in New York.

930 = 2 × 3 × 5 × 31, pronic number

931 = 72 × 19; sum of three consecutive primes (307 + 311 + 313); double repdigit, 11130 and 77711

932 = 22 × 233

933 = 3 × 311

934 = 2 × 467, nontotient

935 = 5 × 11 × 17, sphenic number, Lucas–Carmichael number, Harshad number

936 = 23 × 32 × 13, pentagonal pyramidal number, Harshad number

937 prime number, Chen prime, star number, happy number

938 = 2 × 7 × 67, sphenic number, nontotient

939 = 3 × 313

940 = 22 × 5 × 47, totient sum for first 55 integers

941 prime number, sum of three consecutive primes (311 + 313 + 317), sum of five consecutive primes (179 + 181 + 191 + 193 + 197), Chen prime, Eisenstein prime with no imaginary part

942 = 2 × 3 × 157, sphenic number, sum of four consecutive primes (229 + 233 + 239 + 241), nontotient

943 = 23 × 41

944 = 24 × 59, nontotient

945 = 33 × 5 × 7, double factorial of 9, smallest odd abundant number (divisors less than itself add up to 975);[1] smallest odd primitive abundant number; smallest odd primitive semiperfect number; Leyland number

946 = 2 × 11 × 43, sphenic number, triangular number, hexagonal number, happy number

947 prime number, sum of seven consecutive primes (113 + 127 + 131 + 137 + 139 + 149 + 151), balanced prime, Chen prime, Eisenstein prime with no imaginary part

948 = 22 × 3 × 79, nontotient, forms a Ruth–Aaron pair with 949 under second definition

949 = 13 × 73, forms a Ruth–Aaron pair with 948 under second definition

950 = 2 × 52 × 19, nontotient

  • one of two ISBN Group Identifiers for books published in Argentina

951 = 3 × 317, centered pentagonal number

  • one of two ISBN Group Identifiers for books published in Finland

952 = 23 × 7 × 17

953 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered heptagonal number

  • ISBN Group Identifier for books published in Croatia

954 = 2 × 32 × 53, sum of ten consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113), nontotient, Harshad number

955 = 5 × 191

  • ISBN Group Identifier for books published in Sri Lanka

956 = 22 × 239

  • ISBN Group Identifier for books published in Chile

957 = 3 × 11 × 29, sphenic number

  • one of two ISBN Group Identifiers for books published in Taiwan and China

958 = 2 × 479, nontotient, Smith number

959 = 7 × 137, Carol number

  • ISBN Group Identifier for books published in Cuba

960 = 26 × 3 × 5, sum of six consecutive primes (149 + 151 + 157 + 163 + 167 + 173), Harshad number

  • country calling code for Maldives, ISBN Group Identifier for books published in Greece
  • The number of possible starting positions for the chess variant Chess960
    • Chess960 also got its name from the number itself

961 = 312, the largest 3-digit perfect square, sum of three consecutive primes (313 + 317 + 331), sum of five consecutive primes (181 + 191 + 193 + 197 + 199), centered octagonal number

  • country calling code for Lebanon, ISBN Group Identifier for books published in Slovenia

962 = 2 × 13 × 37, sphenic number, nontotient

  • country calling code for Jordan, one of two ISBN Group Identifiers for books published in Hong Kong

963 = 32 × 107, sum of the first twenty-four primes

  • country calling code for Syria, ISBN Group Identifier for books published in Hungary

964 = 22 × 241, sum of four consecutive primes (233 + 239 + 241 + 251), nontotient, totient sum for first 56 integers

  • country calling code for Iraq, ISBN Group Identifier for books published in Iran, happy number

965 = 5 × 193

  • country calling code for Kuwait, ISBN Group Identifier for books published in Israel

966 = 2 × 3 × 7 × 23, sum of eight consecutive primes (103 + 107 + 109 + 113 + 127 + 131 + 137 + 139), Harshad number

  • country calling code for Saudi Arabia, one of two ISBN Group Identifiers for books published in Ukraine

967 prime number

  • country calling code for Yemen, one of two ISBN Group Identifiers for books published in Malaysia

968 = 23 × 112, nontotient

  • country calling code for Oman, one of two ISBN Group Identifiers for books published in Mexico

969 = 3 × 17 × 19, sphenic number, nonagonal number, tetrahedral number

970 = 2 × 5 × 97, sphenic number

  • country calling code for Palestinian territories, one of two ISBN Group Identifiers for books published in Mexico

971 prime number, Chen prime, Eisenstein prime with no imaginary part

  • country calling code for United Arab Emirates, ISBN Group Identifier for books published in the Philippines

972 = 22 × 35, Harshad number

  • country calling code for Israel, one of two ISBN Group Identifiers for books published in Portugal

973 = 7 × 139, happy number

  • country calling code for Bahrain, ISBN Group Identifier for books published in Romania,

974 = 2 × 487, nontotient

  • country calling code for Qatar, ISBN Group Identifier for books published in Thailand

975 = 3 × 52 × 13

  • country calling code for Bhutan, ISBN Group Identifier for books published in Turkey

976 = 24 × 61, decagonal number

977 prime number, sum of nine consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131), balanced prime, Chen prime, Eisenstein prime with no imaginary part, Stern prime, strictly non-palindromic number

  • country calling code for Nepal
  • EAN prefix for ISSNs
  • ISBN Group Identifier for books published in Egypt

978 = 2 × 3 × 163, sphenic number, nontotient,

  • First EAN prefix for ISBNs
  • ISBN Group Identifier for books published in Nigeria

979 = 11 × 89

  • Second EAN prefix for ISBNs. Also for ISMNs
  • ISBN Group Identifier for books published in Indonesia

980 = 22 × 5 × 72

  • ISBN Group Identifier for books published in Venezuela

981 = 32 × 109

  • one of two ISBN Group Identifiers for books published in Singapore

982 = 2 × 491, happy number

983 prime number, safe prime, Chen prime, Eisenstein prime with no imaginary part, Wedderburn–Etherington number, strictly non-palindromic number

  • One of two ISBN Group Identifiers for books published in Malaysia

984 = 23 × 3 × 41

  • ISBN Group Identifier for books published in Bangladesh

985 = 5 × 197, sum of three consecutive primes (317 + 331 + 337), Markov number, Pell number, Smith number

  • one of two ISBN Group Identifiers for books published in Belarus

986 = 2 × 17 × 29, sphenic number, nontotient

  • one of two ISBN Group Identifiers for books published in Taiwan and China

987 = 3 × 7 × 47, Fibonacci number

  • one of two ISBN Group Identifiers for books published in Argentina

988 = 22 × 13 × 19, nontotient. sum of four consecutive primes (239 + 241 + 251 + 257)

  • one of two ISBN Group Identifiers for books published in Hong Kong

989 = 23 × 43, Extra strong Lucas pseudoprime

  • one of two ISBN Group Identifiers for books published in Portugal

990 = 2 × 32 × 5 × 11, sum of six consecutive primes (151 + 157 + 163 + 167 + 173 + 179), triangular number, Harshad number

991 prime number, sum of five consecutive primes (191 + 193 + 197 + 199 + 211), sum of seven consecutive primes (127 + 131 + 137 + 139 + 149 + 151 + 157), Chen prime

992 = 25 × 31, pronic number, nontotient; number of eleven-dimensional exotic spheres.[2]

  • country calling code for Tajikistan

993 = 3 × 331

  • country calling code for Turkmenistan

994 = 2 × 7 × 71, sphenic number, nontotient

  • country calling code for Azerbaijan

995 = 5 × 199

  • country calling code for Georgia
  • Singapore fire brigade and emergency ambulance services hotline

996 = 22 × 3 × 83

  • country calling code for Kyrgyzstan

997 prime number, strictly non-palindromic number

998 = 2 × 499, nontotient

  • country calling code for Uzbekistan

999 = 33 × 37, Kaprekar number, Harshad number

See also

1000 (number)

References

Wikimedia Commons has media related to 900 (number).
  1. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 13. ISBN 978-1-84800-000-1.
  2. ^ "week164". Math.ucr.edu. 2001-01-13. Retrieved 2014-05-12.
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