13632

13,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 13632 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

13632 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 13632:

2⁶ × 3 × 71

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 71)

See below for interesting mathematical facts about the number 13632 from the Numbermatics database.

Names of 13632

Cardinal: 13632 can be written as Thirteen thousand, six hundred thirty-two.

Scientific notation

Scientific notation: 1.3632 × 10⁴

Factors of 13632

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 76

Divisors of 13632

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 4544 6816 13632
Sum of all divisors σ(n): 36576
Sum of proper divisors (its aliquot sum) s(n): 22944
13632 is an abundant number, because the sum of its proper divisors (22944) is greater than itself. Its abundance is 9312

Bases of 13632

Binary: 11010101000000₂
Hexadecimal: 0x3540
Base-36: AIO

Squares and roots of 13632

13632 squared (13632²) is 185831424
13632 cubed (13632³) is 2533253971968
The square root of 13632 is 116.7561561547
The cube root of 13632 is 23.8883704793

Scales and comparisons

How big is 13632?

13,632 seconds is equal to 3 hours, 47 minutes, 12 seconds.
To count from 1 to 13,632 would take you about three hours.

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 13632 cubic inches would be around 2 feet tall.

Recreational maths with 13632

13632 backwards is 23631
The number of decimal digits it has is: 5
The sum of 13632's digits is 15
More coming soon!

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The information we have on file for 13632 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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