1056

1,056 is an even composite number composed of three prime numbers multiplied together.

What does the number 1056 look like?

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

1056 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 1056:

25 × 3 × 11

(2 × 2 × 2 × 2 × 2 × 3 × 11)

See below for interesting mathematical facts about the number 1056 from the Numbermatics database.

Quick links:
Names Factors Divisors Scales Roots Fun

Names of 1056

  • Cardinal: 1056 can be written as One thousand and fifty-six.

Scientific notation

  • Scientific notation: 1.056 × 103

Factors of 1056

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 16

Divisors of 1056

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3024
  • Sum of proper divisors (its aliquot sum) s(n): 1968
  • 1056 is an abundant number, because the sum of its proper divisors (1968) is greater than itself. Its abundance is 912

Bases of 1056

  • Binary: 100001000002
  • Hexadecimal: 0x420
  • Base-36: TC

Squares and roots of 1056

  • 1056 squared (10562) is 1115136
  • 1056 cubed (10563) is 1177583616
  • The square root of 1056 is 32.4961536185
  • The cube root of 1056 is 10.1832867393

Scales and comparisons

How big is 1056?
  • 1,056 seconds is equal to 17 minutes, 36 seconds.
  • To count from 1 to 1,056 would take you about seventeen 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 1056 cubic inches would be around 0.8 feet tall.

Recreational maths with 1056

  • 1056 backwards is 6501
  • 1056 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1056's digits is 12
  • More coming soon!

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"Number 1056 - Facts about the integer". Numbermatics.com. 2019. Web. 25 August 2019.

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Numbermatics. (2019). Number 1056 - Facts about the integer. Retrieved 25 August 2019, from https://numbermatics.com/n/1056/

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The information we have on file for 1056 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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