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:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360
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
Hexadecimal: 0x168
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!

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The information we have on file for 360 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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