# 60 (number)

60 is the natural number following 59 and preceding 61.

 List of numbers — Integers << 60 61 62 63 64 65 66 67 68 69 >>
Cardinal <td>sixty
Ordinal<td>sixtieth
Numeral system<td>sexagesimal
Factorization<td>[itex]2^2 \cdot 3 \cdot 5[itex]
Roman numeral<td>LX
Binary<td>111100

<tr><td>Hebrew<td>ס (Samekh)

## 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. And because it is divisible by the sum of its digits in base 10, it is a Harshad 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).

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 a sexagesimal number system.

The Sexagesimal cycle plays a role in Chinese numbering and numerology.

## In other fields

Sixty is also:

• Art and Cultures
• Countries of the World (http://www.academickids.com/encyclopedia/index.php/Countries)
• Space and Astronomy