13752

13,752 is an even composite number composed of three prime numbers multiplied together.

What does the number 13752 look like?

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

13752 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 13752:

2³ × 3² × 191

(2 × 2 × 2 × 3 × 3 × 191)

See below for interesting mathematical facts about the number 13752 from the Numbermatics database.

Names of 13752

Cardinal: 13752 can be written as Thirteen thousand, seven hundred fifty-two.

Scientific notation

Scientific notation: 1.3752 × 10⁴

Factors of 13752

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 196

Divisors of 13752

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 13752
Sum of all divisors σ(n): 37440
Sum of proper divisors (its aliquot sum) s(n): 23688
13752 is an abundant number, because the sum of its proper divisors (23688) is greater than itself. Its abundance is 9936

Bases of 13752

Binary: 11010110111000₂
Hexadecimal: 0x35B8
Base-36: AM0

Squares and roots of 13752

13752 squared (13752²) is 189117504
13752 cubed (13752³) is 2600743915008
The square root of 13752 is 117.2689217141
The cube root of 13752 is 23.9582607853

Scales and comparisons

How big is 13752?

13,752 seconds is equal to 3 hours, 49 minutes, 12 seconds.
To count from 1 to 13,752 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 13752 cubic inches would be around 2 feet tall.

Recreational maths with 13752

13752 backwards is 25731
13752 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 13752's digits is 18
More coming soon!

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The information we have on file for 13752 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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