13688

13,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 13688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

13688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 13688:

2³ × 29 × 59

(2 × 2 × 2 × 29 × 59)

See below for interesting mathematical facts about the number 13688 from the Numbermatics database.

Names of 13688

Cardinal: 13688 can be written as Thirteen thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 1.3688 × 10⁴

Factors of 13688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 90

Divisors of 13688

Number of divisors d(n): 16
Complete list of divisors:
1 2 4 8 29 58 59 116 118 232 236 472 1711 3422 6844 13688
Sum of all divisors σ(n): 27000
Sum of proper divisors (its aliquot sum) s(n): 13312
13688 is a deficient number, because the sum of its proper divisors (13312) is less than itself. Its deficiency is 376

Bases of 13688

Binary: 11010101111000₂
Hexadecimal: 0x3578
Base-36: AK8

Squares and roots of 13688

13688 squared (13688²) is 187361344
13688 cubed (13688³) is 2564602076672
The square root of 13688 is 116.9957264177
The cube root of 13688 is 23.9210367817

Scales and comparisons

How big is 13688?

13,688 seconds is equal to 3 hours, 48 minutes, 8 seconds.
To count from 1 to 13,688 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 13688 cubic inches would be around 2 feet tall.

Recreational maths with 13688

13688 backwards is 88631
The number of decimal digits it has is: 5
The sum of 13688's digits is 26
More coming soon!

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The information we have on file for 13688 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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