1020

1,020 is an even composite number composed of four prime numbers multiplied together.

What does the number 1020 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

1020 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 1020:

22 × 3 × 5 × 17

(2 × 2 × 3 × 5 × 17)

See below for interesting mathematical facts about the number 1020 from the Numbermatics database.


Names of 1020

  • Cardinal: 1020 can be written as One thousand and twenty.

Scientific notation

  • Scientific notation: 1.02 × 103

Factors of 1020

  • Number of distinct prime factors ω(n): 4
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 27

Divisors of 1020

  • 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): 2004
  • 1020 is an abundant number, because the sum of its proper divisors (2004) is greater than itself. Its abundance is 984

Bases of 1020

  • Binary: 11111111002
  • Hexadecimal: 0x3FC
  • Base-36: SC

Squares and roots of 1020

  • 1020 squared (10202) is 1040400
  • 1020 cubed (10203) is 1061208000
  • The square root of 1020 is 31.9374388455
  • The cube root of 1020 is 10.0662270957

Scales and comparisons

How big is 1020?
  • 1,020 seconds is equal to 17 minutes.
  • To count from 1 to 1,020 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 1020 cubic inches would be around 0.8 feet tall.

Recreational maths with 1020

  • 1020 backwards is 0201
  • 1020 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1020's digits is 3
  • More coming soon!

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"Number 1020 - Facts about the integer". Numbermatics.com. 2024. Web. 13 October 2024.

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Numbermatics. (2024). Number 1020 - Facts about the integer. Retrieved 13 October 2024, from https://numbermatics.com/n/1020/

Chicago style:
Numbermatics. 2024. "Number 1020 - Facts about the integer". https://numbermatics.com/n/1020/

The information we have on file for 1020 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!

Keywords: Divisors of 1020, math, Factors of 1020, curriculum, school, college, exams, university, Prime factorization of 1020, STEM, science, technology, engineering, physics, economics, calculator, one thousand and twenty.

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