60 (number)

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60 (sixty) is the natural number following 59 and preceding 61.

<< 60 61 62 63 64 65 66 67 68 69 >> List of numbers -- Integers 0 10 20 30 40 50 60 70 80 90 >>
Cardinal	60 sixty
Ordinal	60th sixtieth
Numeral system	sexagesimal
Factorization	<math>2^2 \cdot 3 \cdot 5</math>
Divisors	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Roman numeral	LX
Roman numeral (Unicode)	LX, lx
Binary	111100
Octal	74
Duodecimal	50
Hexadecimal	3C
Gematria	ס (Samekh)

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Look up sixty in
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1 In mathematics
2 In science
- 2.1 Astronomy
3 In religion
4 In other fields
5 Historical years

[edit] In mathematics

Sixty is a composite number with divisors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, making it also a highly composite number. Because 60 is the sum of its unitary divisors (excluding itself), it is a unitary perfect number. Being ten times a perfect number, 60 is a semiperfect number.

60 is the smallest number divisible by the numbers 1 to 6. (There is no smaller number divisible by the numbers 1 to 5). 60 is the smallest number with exactly 12 divisors.

This number is the sum of a pair of twin primes (29 + 31), as well as the sum of four consecutive primes (11 + 13 + 17 + 19).

The smallest non-abelian simple group has order 60.

In normal space, the 3 interior angles of an equilateral triangle each measure 60 degrees, adding up to 180 degrees.

The Babylonian number system had a base of sixty. A number system with base-sixty is called the sexagesimal (original meaning of sexagesimal is sixtieth).

The sexagenary cycle plays a role in Chinese calendar and numerology.　(Originally, sexagenary means sixty each, also centenary means one hundred each.)

Because 60 is divisible by the sum of its digits in base 10, it is a Harshad number.

[edit] In science

The atomic number of neodymium, a lanthanide. The neodymium following element with the ordinal number 61 (promethium) has in contrast to the neighbour elements no stable isotopes.

[edit] Astronomy

Messier object M60, a magnitude 10.5 galaxy in the constellation Virgo
The New General Catalogue object NGC 60, a spiral galaxy in the constellation Pisces
The Saros number of the solar eclipse series which began on -1020 May 18 and ended on 260 June 26. The duration of Saros series 60 was 1280.1 years, and it contained 72 solar eclipses. The Saros number of the lunar eclipse series which began on -700 March 8 and ended on 616 May 7. The duration of Saros series 60 was 1316.2 years, and it contained 74 lunar eclipses.

[edit] In religion

In the laws of kashrut, the proportion (60:1) of kosher to non-kosher ingredients which can render an admixture kosher
In the Bedtime Shema, the number of strong men (giborim) said to surround King Solomon's bed