# 360

## 360 is an even composite number composed of three prime numbers multiplied together.

What does the number 360 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

360 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 360:

### 23 × 32 × 5

(2 × 2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 360 from the Numbermatics database.

### Names of 360

• Cardinal: 360 can be written as Three hundred sixty.

### Scientific notation

• Scientific notation: 3.6 × 102

### Factors of 360

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 360

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 1170
• Sum of proper divisors (its aliquot sum) s(n): 810
• 360 is an abundant number, because the sum of its proper divisors (810) is greater than itself. Its abundance is 450

### Bases of 360

• Binary: 1011010002
• Base-36: A0

### Squares and roots of 360

• 360 squared (3602) is 129600
• 360 cubed (3603) is 46656000
• The square root of 360 is 18.9736659611
• The cube root of 360 is 7.1137866089

### Scales and comparisons

How big is 360?
• 360 seconds is equal to 6 minutes.
• To count from 1 to 360 would take you about three minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 360 cubic inches would be around 0.6 feet tall.

### Recreational maths with 360

• 360 backwards is 063
• 360 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 360's digits is 9
• More coming soon!