2,064 is an even composite number composed of three prime numbers multiplied together.

What does the number 2064 look like?

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

2064 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 2064:

24 × 3 × 43

(2 × 2 × 2 × 2 × 3 × 43)

See below for interesting mathematical facts about the number 2064 from the Numbermatics database.

Names of 2064

  • Cardinal: 2064 can be written as Two thousand and sixty-four.

Scientific notation

  • Scientific notation: 2.064 × 103

Factors of 2064

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 48

Divisors of 2064

  • Number of divisors d(n): 20
  • Complete list of divisors:
  • Sum of all divisors σ(n): 5456
  • Sum of proper divisors (its aliquot sum) s(n): 3392
  • 2064 is an abundant number, because the sum of its proper divisors (3392) is greater than itself. Its abundance is 1328

Bases of 2064

  • Binary: 1000000100002
  • Hexadecimal: 0x810
  • Base-36: 1LC

Squares and roots of 2064

  • 2064 squared (20642) is 4260096
  • 2064 cubed (20643) is 8792838144
  • The square root of 2064 is 45.4312667665
  • The cube root of 2064 is 12.7321935209

Scales and comparisons

How big is 2064?
  • 2,064 seconds is equal to 34 minutes, 24 seconds.
  • To count from 1 to 2,064 would take you about thirty-four 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 2064 cubic inches would be around 1.1 feet tall.

Recreational maths with 2064

  • 2064 backwards is 4602
  • 2064 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 2064's digits is 12
  • More coming soon!

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The information we have on file for 2064 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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