70 (number)
| ||||
|---|---|---|---|---|
| Cardinal | seventy | |||
| Ordinal | 70th (seventieth) | |||
| Factorization | 2 x 5 x 7 | |||
| Divisors | 1, 2, 5, 7, 10, 14, 35, 70 | |||
| Greek numeral | Ο´ | |||
| Roman numeral | LXX, lxx | |||
| Binary | 10001102 | |||
| Ternary | 21213 | |||
| Senary | 1546 | |||
| Octal | 1068 | |||
| Duodecimal | 5A12 | |||
| Hexadecimal | 4616 | |||
| Hebrew | ע | |||
| Lao | ໗ | |||
| Armenian | Հ | |||
| Babylonian numeral | 𒐕𒌋 | |||
| Egyptian hieroglyph | 𓎌 | |||
70 (seventy) is the natural number following 69 and preceding 71.
Mathematics
[edit]70 is a composite number an Erdős–Woods number[1], a Pell number, a central binomial coefficient[2], and a primitive abundant number. 70 is the smallest weird number, which is a natural number that is abundant but not semiperfect.[3]
70 is also part of the only nontrivial solution pair to the cannonball problem, along with 24.
In religion
[edit]- In Jewish tradition, Ptolemy II Philadelphus ordered 72 Jewish elders to translate the Torah into Greek; the result was the Septuagint (from the Latin for "seventy"). The Roman numeral seventy, LXX, is the scholarly symbol for the Septuagint.
- In Islamic history and in Islamic interpretation the number 70 or 72 is most often and generally hyperbole for an infinite amount:
- There are 70 dead among Muhammad's adversaries during the Battle of Badr.
- 70 of Muhammad's followers are martyred at the Battle of Uhud.
- In Shia Islam, there are 70 martyrs among Imam Hussein's followers during the Battle of Karbala.
In other fields
[edit]- In some traditions, 70 years of marriage is marked by a platinum wedding anniversary.
- Under Social Security (United States), the age at which a person can receive the maximum retirement benefits (and may do so and continue working without reduction of benefits).
Number name
[edit]Several languages, especially ones with vigesimal number systems, do not have a specific word for 70: for example, French: soixante-dix, lit. 'sixty-ten'; Danish: halvfjerds, short for halvfjerdsindstyve, 'three and a half score'. (For French, this is true only in France, Canada and Luxembourg; other French-speaking regions such as Belgium, Switzerland, Aosta Valley and Jersey use septante.)[4]
Notes
[edit]References
[edit]- ^ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ Sloane, N. J. A. (ed.). "Sequence A000984 (Central binomial coefficients: binomial(2*n,n) as (2*n)!/(n!)^2.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
- ^ Peter Higgins, Number Story. London: Copernicus Books (2008): 19. "Belgian French speakers however grew tired of this and introduced the new names septante, octante, nonante etc. for these numbers".