820 is an even composite number composed of three prime numbers multiplied together.

What does the number 820 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

820 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

Prime factorization of 820:

22 × 5 × 41

(2 × 2 × 5 × 41)

See below for interesting mathematical facts about the number 820 from the Numbermatics database.

Names of 820

  • Cardinal: 820 can be written as Eight hundred twenty.

Scientific notation

  • Scientific notation: 8.2 × 102

Factors of 820

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 48

Divisors of 820

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1764
  • Sum of proper divisors (its aliquot sum) s(n): 944
  • 820 is an abundant number, because the sum of its proper divisors (944) is greater than itself. Its abundance is 124

Bases of 820

  • Binary: 11001101002
  • Hexadecimal: 0x334
  • Base-36: MS

Squares and roots of 820

  • 820 squared (8202) is 672400
  • 820 cubed (8203) is 551368000
  • The square root of 820 is 28.6356421265
  • The cube root of 820 is 9.3599016231

Scales and comparisons

How big is 820?
  • 820 seconds is equal to 13 minutes, 40 seconds.
  • To count from 1 to 820 would take you about six 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 820 cubic inches would be around 0.8 feet tall.

Recreational maths with 820

  • 820 backwards is 028
  • 820 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 820's digits is 10
  • More coming soon!

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"Number 820 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.

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Numbermatics. (2024). Number 820 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/820/

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The information we have on file for 820 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 820, math, Factors of 820, curriculum, school, college, exams, university, Prime factorization of 820, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty.

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