1968

1,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 1968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

1968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 1968:

24 × 3 × 41

(2 × 2 × 2 × 2 × 3 × 41)

See below for interesting mathematical facts about the number 1968 from the Numbermatics database.

Quick links:
Names Factors Divisors Scales Roots Fun

Names of 1968

  • Cardinal: 1968 can be written as One thousand, nine hundred sixty-eight.

Scientific notation

  • Scientific notation: 1.968 × 103

Factors of 1968

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 46

Divisors of 1968

  • Number of divisors d(n): 20
  • Complete list of divisors:
  • Sum of all divisors σ(n): 5208
  • Sum of proper divisors (its aliquot sum) s(n): 3240
  • 1968 is an abundant number, because the sum of its proper divisors (3240) is greater than itself. Its abundance is 1272

Bases of 1968

  • Binary: 111101100002
  • Hexadecimal: 0x7B0
  • Base-36: 1IO

Squares and roots of 1968

  • 1968 squared (19682) is 3873024
  • 1968 cubed (19683) is 7622111232
  • The square root of 1968 is 44.3621460257
  • The cube root of 1968 is 12.5316531121

Scales and comparisons

How big is 1968?
  • 1,968 seconds is equal to 32 minutes, 48 seconds.
  • To count from 1 to 1,968 would take you about thirty-two 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 1968 cubic inches would be around 1 feet tall.

Recreational maths with 1968

  • 1968 backwards is 8691
  • 1968 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1968's digits is 24
  • More coming soon!

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"Number 1968 - Facts about the integer". Numbermatics.com. 2019. Web. 23 September 2019.

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Numbermatics. (2019). Number 1968 - Facts about the integer. Retrieved 23 September 2019, from https://numbermatics.com/n/1968/

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The information we have on file for 1968 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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