10688

10,688 is an even composite number composed of two prime numbers multiplied together.

What does the number 10688 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

10688 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

Prime factorization of 10688:

26 × 167

(2 × 2 × 2 × 2 × 2 × 2 × 167)

See below for interesting mathematical facts about the number 10688 from the Numbermatics database.


Names of 10688

  • Cardinal: 10688 can be written as Ten thousand, six hundred eighty-eight.

Scientific notation

  • Scientific notation: 1.0688 × 104

Factors of 10688

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 169

Divisors of 10688

  • Number of divisors d(n): 14
  • Complete list of divisors:
  • Sum of all divisors σ(n): 21336
  • Sum of proper divisors (its aliquot sum) s(n): 10648
  • 10688 is a deficient number, because the sum of its proper divisors (10648) is less than itself. Its deficiency is 40

Bases of 10688

  • Binary: 101001110000002
  • Hexadecimal: 0x29C0
  • Base-36: 88W

Squares and roots of 10688

  • 10688 squared (106882) is 114233344
  • 10688 cubed (106883) is 1220925980672
  • The square root of 10688 is 103.3827838665
  • The cube root of 10688 is 22.0275137855

Scales and comparisons

How big is 10688?
  • 10,688 seconds is equal to 2 hours, 58 minutes, 8 seconds.
  • To count from 1 to 10,688 would take you about two 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 10688 cubic inches would be around 1.8 feet tall.

Recreational maths with 10688

  • 10688 backwards is 88601
  • The number of decimal digits it has is: 5
  • The sum of 10688's digits is 23
  • More coming soon!

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"Number 10688 - Facts about the integer". Numbermatics.com. 2022. Web. 13 August 2022.

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Numbermatics. (2022). Number 10688 - Facts about the integer. Retrieved 13 August 2022, from https://numbermatics.com/n/10688/

Chicago style:
Numbermatics. 2022. "Number 10688 - Facts about the integer". https://numbermatics.com/n/10688/

The information we have on file for 10688 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!

Keywords: Divisors of 10688, math, Factors of 10688, curriculum, school, college, exams, university, Prime factorization of 10688, STEM, science, technology, engineering, physics, economics, calculator, ten thousand, six hundred eighty-eight.

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