1350

1,350 is an even composite number composed of three prime numbers multiplied together.

What does the number 1350 look like?

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

1350 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 1350:

2 × 33 × 52

(2 × 3 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 1350 from the Numbermatics database.


Names of 1350

  • Cardinal: 1350 can be written as One thousand, three hundred fifty.

Scientific notation

  • Scientific notation: 1.35 × 103

Factors of 1350

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 10

Divisors of 1350

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3720
  • Sum of proper divisors (its aliquot sum) s(n): 2370
  • 1350 is an abundant number, because the sum of its proper divisors (2370) is greater than itself. Its abundance is 1020

Bases of 1350

  • Binary: 101010001102
  • Hexadecimal: 0x546
  • Base-36: 11I

Squares and roots of 1350

  • 1350 squared (13502) is 1822500
  • 1350 cubed (13503) is 2460375000
  • The square root of 1350 is 36.7423461419
  • The cube root of 1350 is 11.0520944959

Scales and comparisons

How big is 1350?
  • 1,350 seconds is equal to 22 minutes, 30 seconds.
  • To count from 1 to 1,350 would take you about twenty-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 1350 cubic inches would be around 0.9 feet tall.

Recreational maths with 1350

  • 1350 backwards is 0531
  • 1350 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1350's digits is 9
  • More coming soon!

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Numbermatics. (2021). Number 1350 - Facts about the integer. Retrieved 20 September 2021, from https://numbermatics.com/n/1350/

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The information we have on file for 1350 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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