270 (number)

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Cardinal two hundred seventy
Ordinal 270th
(two hundred seventieth)
Factorization 2 × 33× 5
Greek numeral ΣΟ´
Roman numeral CCLXX
Binary 1000011102
Ternary 1010003
Quaternary 100324
Quinary 20405
Senary 11306
Octal 4168
Duodecimal 1A612
Hexadecimal 10E16
Vigesimal DA20
Base 36 7I36

270 (two hundred [and] seventy) is the natural number following 269 and preceding 271.

In mathematics[edit]

  • 270 is a harmonic divisor number[1]
  • 270 is the fourth number that is divisible by its average integer divisor[2]
  • 270 is a practical number, by the second definition
  • The sum of the coprime counts for the first 29 integers is 270
  • 270 is a sparsely totient number, the largest integer with 72 as its totient
  • Given 6 elements, there are 270 square permutations[3]
  • 10! has 270 divisors
  • 270 is a Harshad number in base 10
  • 270 is the smallest positive integer that has divisors ending by digits 1, 2, …, 9.

In other fields[edit]

Integers from 271 to 279[edit]

271[edit]

271 is a twin prime with 269, cuban prime, centered hexagonal number, sum of eleven consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43).

272[edit]

272 = 24·17, sum of four consecutive primes (61 + 67 + 71 + 73), Euler number, primitive semiperfect number, pronic number

273[edit]

274[edit]

274 = 2·137, tribonacci number, Smith number, nontotient, noncototient, centered triangular number

275[edit]

275 = 52·11

276[edit]

277[edit]

278[edit]

278 = 2·139, nontotient

279[edit]

279 = 32·31 Every positive integer is the sum of at most 279 eighth powers. See Waring's problem.

References[edit]