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70 (number)

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70
Cardinalseventy
Ordinal70th
(seventieth)
Factorization 2 \cdot 5 \cdot 7
Divisors1,2 5, 7, 10, 14, 35, 70
Roman numeralLXX
Binary10001102
Octal1068
Duodecimal5A12
Hexadecimal4616
Hebrewע (Ayin)

70 (seventy) is the natural number following 69 and preceding 71.

Contents

[edit] In mathematics

Its factorization makes it a sphenic number. 70 is a Pell number and a generalized heptagonal number, one of only two numbers to be both.[1] Also, it is the seventh pentagonal number and the fourth 13-gonal number, as well as the fifth pentatope number. It is the smallest weird number.

Since it is possible to find sequences of 70 consecutive integers such that each inner member member shares a factor with either the first or the last member, 70 is an Erdős–Woods number.

In base 10, it is a Harshad number.

70! is the same magnitude as googol

[edit] In science

[edit] Astronomy

[edit] In religion

[edit] In law

[edit] In sports

[edit] In other fields

70 is:

[edit] Number name

The French do not have a word for 70, instead using "soixante-dix" (60 + 10). Other French-speaking countries such as Belgium and Switzerland do have a word for it, using "septante."[2]

[edit] Notes

  1. ^ B. Srinivasa Rao, "Heptagonal Numbers in the Pell Sequence and Diophantine Equations 2x^2 = y^2(5y - 3)^2 \pm 2" Fib. Quart. 43 3: 194
  2. ^ 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."

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