32,768 is an even composite number. It is composed of a single prime number multiplied by itself fourteen times.

What does the number 32768 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 16 divisors.

32768 is an even composite number. It is composed of one distinct prime number multiplied by itself fourteen times. It has a total of sixteen divisors.

Prime factorization of 32768:


(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 32768 from the Numbermatics database.

Names of 32768

  • Cardinal: 32768 can be written as Thirty-two thousand, seven hundred sixty-eight.

Scientific notation

  • Scientific notation: 3.2768 × 104

Factors of 32768

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 15
  • Sum of prime factors: 2

Divisors of 32768

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 65535
  • Sum of proper divisors (its aliquot sum) s(n): 32767
  • 32768 is a deficient number, because the sum of its proper divisors (32767) is less than itself. Its deficiency is 1

Bases of 32768

  • Binary: 10000000000000002
  • Hexadecimal: 0x8000
  • Base-36: PA8

Squares and roots of 32768

  • 32768 squared (327682) is 1073741824
  • 32768 cubed (327683) is 35184372088832
  • The square root of 32768 is 181.0193359837
  • 32768 is a perfect cube number. Its cube root is 32

Scales and comparisons

How big is 32768?
  • 32,768 seconds is equal to 9 hours, 6 minutes, 8 seconds.
  • To count from 1 to 32,768 would take you about nine 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 32768 cubic inches would be around 2.7 feet tall.

Recreational maths with 32768

  • 32768 backwards is 86723
  • The number of decimal digits it has is: 5
  • The sum of 32768's digits is 26
  • More coming soon!

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"Number 32768 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.

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Numbermatics. (2024). Number 32768 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/32768/

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The information we have on file for 32768 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 32768, math, Factors of 32768, curriculum, school, college, exams, university, Prime factorization of 32768, STEM, science, technology, engineering, physics, economics, calculator, thirty-two thousand, seven hundred sixty-eight.

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