1632

1,632 is an even composite number composed of three prime numbers multiplied together.

What does the number 1632 look like?

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

1632 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 1632:

25 × 3 × 17

(2 × 2 × 2 × 2 × 2 × 3 × 17)

See below for interesting mathematical facts about the number 1632 from the Numbermatics database.


Names of 1632

  • Cardinal: 1632 can be written as One thousand, six hundred thirty-two.

Scientific notation

  • Scientific notation: 1.632 × 103

Factors of 1632

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 22

Divisors of 1632

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 4536
  • Sum of proper divisors (its aliquot sum) s(n): 2904
  • 1632 is an abundant number, because the sum of its proper divisors (2904) is greater than itself. Its abundance is 1272

Bases of 1632

  • Binary: 110011000002
  • Hexadecimal: 0x660
  • Base-36: 19C

Squares and roots of 1632

  • 1632 squared (16322) is 2663424
  • 1632 cubed (16323) is 4346707968
  • The square root of 1632 is 40.3980197537
  • The cube root of 1632 is 11.7735306337

Scales and comparisons

How big is 1632?
  • 1,632 seconds is equal to 27 minutes, 12 seconds.
  • To count from 1 to 1,632 would take you about twenty-seven minutes.

    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 1632 cubic inches would be around 1 feet tall.

Recreational maths with 1632

  • 1632 backwards is 2361
  • 1632 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1632's digits is 12
  • More coming soon!

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Numbermatics. (2020). Number 1632 - Facts about the integer. Retrieved 25 February 2020, from https://numbermatics.com/n/1632/

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The information we have on file for 1632 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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