60 (number)

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

0 10 20 30 40 50 60 70 80 90

Cardinal 60
sixty
Ordinal 60th
sixtieth
Numeral system sexagesimal
Factorization 2^2 \cdot 3 \cdot 5
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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Contents

[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.

In German: das Schock and in Latin: sexagena equals 60 = 5 dozen = 1/2 small gross. This quantity was used in international medieval treaties e.g. for ransom of captured Teutonic Knights.

[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

[edit] In religion

  • In the Bedtime Shema, the number of strong men (giborim) said to surround King Solomon's bed

[edit] In other fields

Sixty is:

[edit] In music

[edit] In sports

[edit] Historical years

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