1,164 is an even composite number composed of three prime numbers multiplied together.

What does the number 1164 look like?

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

1164 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 1164:

22 × 3 × 97

(2 × 2 × 3 × 97)

See below for interesting mathematical facts about the number 1164 from the Numbermatics database.

Names of 1164

  • Cardinal: 1164 can be written as One thousand, one hundred sixty-four.

Scientific notation

  • Scientific notation: 1.164 × 103

Factors of 1164

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 102

Divisors of 1164

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 2744
  • Sum of proper divisors (its aliquot sum) s(n): 1580
  • 1164 is an abundant number, because the sum of its proper divisors (1580) is greater than itself. Its abundance is 416

Bases of 1164

  • Binary: 100100011002
  • Hexadecimal: 0x48C
  • Base-36: WC

Squares and roots of 1164

  • 1164 squared (11642) is 1354896
  • 1164 cubed (11643) is 1577098944
  • The square root of 1164 is 34.1174442185
  • The cube root of 1164 is 10.5192391031

Scales and comparisons

How big is 1164?
  • 1,164 seconds is equal to 19 minutes, 24 seconds.
  • To count from 1 to 1,164 would take you about nineteen 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 1164 cubic inches would be around 0.9 feet tall.

Recreational maths with 1164

  • 1164 backwards is 4611
  • 1164 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1164's digits is 12
  • More coming soon!

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"Number 1164 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.

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Numbermatics. (2024). Number 1164 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/1164/

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The information we have on file for 1164 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 1164, math, Factors of 1164, curriculum, school, college, exams, university, Prime factorization of 1164, STEM, science, technology, engineering, physics, economics, calculator, one thousand, one hundred sixty-four.

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