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60 (sixty) ( ) is the natural number following 59 and preceding 61. Being three times twenty, 60 is called "three score" in some older literature.

In mathematics

Sixty is a composite number with divisors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 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 prime (11 + 13 + 17 + 19). It is adjacent to two prime numbers (59,61).

The smallest non-abelian simple group has order 60.

In geometry, 60 is the number of second in a minute, and the number of minutes in a degree. In normal space, the 3 interior angles of an equilateral triangle each measure 60 degree, adding up to 180 degrees.

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

In science The first fullerene to be discovered was buckminsterfullerene C60 - an allotrope of carbon with 60 atoms in each molecule. This ball is known as a Buckland ball, and looks like a soccer ball.

Cultural number systems

The Babylonian number system had a base of sixty. The number system in the Mali Empire was also based on sixty (this is reflected in the counting system of the Maasina Fulfulde, a variant of the Fula language spoken in contemporary Mali ). The sexagenary cycle plays a role in Chinese calendar and numerology.　Because 60 is divisible by the sum of its digits in base 10, it is a Harshad number. In and in equals 60 = 5 dozen = 1/2 small gross. This quantity was used in international medieval treaties e.g. for ransom of captured Teutonic Knights.

In religion

• Judaism
• In the laws of kashrut, the proportion (60:1) of kosher to non-kosher ingredients which can render an admixture kosher post-facto. (Talmud, Tractate Chullin 98b ; Shulchan Aruch, Yoreh Deah 98)
• In the Bedtime Shema, the number of strong men (giborim) said to surround King Solomon's bed.

In other fields There are 60 seconds in a minute, and 60 minutes in an hour
Sixty is:

Historical years

60 A.D., 60 B.C., 1960, 2060, etc.

References

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