13536

13,536 is an even composite number composed of three prime numbers multiplied together.

What does the number 13536 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

13536 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 13536:

2⁵ × 3² × 47

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 47)

See below for interesting mathematical facts about the number 13536 from the Numbermatics database.

Names of 13536

Cardinal: 13536 can be written as Thirteen thousand, five hundred thirty-six.

Scientific notation

Scientific notation: 1.3536 × 10⁴

Factors of 13536

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 52

Divisors of 13536

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536
Sum of all divisors σ(n): 39312
Sum of proper divisors (its aliquot sum) s(n): 25776
13536 is an abundant number, because the sum of its proper divisors (25776) is greater than itself. Its abundance is 12240

Bases of 13536

Binary: 11010011100000₂
Hexadecimal: 0x34E0
Base-36: AG0

Squares and roots of 13536

13536 squared (13536²) is 183223296
13536 cubed (13536³) is 2480110534656
The square root of 13536 is 116.3443165779
The cube root of 13536 is 23.8321623411

Scales and comparisons

How big is 13536?

13,536 seconds is equal to 3 hours, 45 minutes, 36 seconds.
To count from 1 to 13,536 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 13536 cubic inches would be around 2 feet tall.

Recreational maths with 13536

13536 backwards is 63531
13536 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 13536's digits is 18
More coming soon!

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The information we have on file for 13536 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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