1456

1,456 is an even composite number composed of three prime numbers multiplied together.

What does the number 1456 look like?

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

1456 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 1456:

24 × 7 × 13

(2 × 2 × 2 × 2 × 7 × 13)

See below for interesting mathematical facts about the number 1456 from the Numbermatics database.


Names of 1456

  • Cardinal: 1456 can be written as One thousand, four hundred fifty-six.

Scientific notation

  • Scientific notation: 1.456 × 103

Factors of 1456

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 22

Divisors of 1456

  • Number of divisors d(n): 20
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3472
  • Sum of proper divisors (its aliquot sum) s(n): 2016
  • 1456 is an abundant number, because the sum of its proper divisors (2016) is greater than itself. Its abundance is 560

Bases of 1456

  • Binary: 101101100002
  • Hexadecimal: 0x5B0
  • Base-36: 14G

Squares and roots of 1456

  • 1456 squared (14562) is 2119936
  • 1456 cubed (14563) is 3086626816
  • The square root of 1456 is 38.1575680567
  • The cube root of 1456 is 11.3341022161

Scales and comparisons

How big is 1456?
  • 1,456 seconds is equal to 24 minutes, 16 seconds.
  • To count from 1 to 1,456 would take you about twenty-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 1456 cubic inches would be around 0.9 feet tall.

Recreational maths with 1456

  • 1456 backwards is 6541
  • 1456 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1456's digits is 16
  • More coming soon!

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"Number 1456 - Facts about the integer". Numbermatics.com. 2021. Web. 17 May 2021.

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Numbermatics. (2021). Number 1456 - Facts about the integer. Retrieved 17 May 2021, from https://numbermatics.com/n/1456/

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The information we have on file for 1456 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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