19164

19,164 is an even composite number composed of three prime numbers multiplied together.

What does the number 19164 look like?

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

19164 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 19164:

22 × 3 × 1597

(2 × 2 × 3 × 1597)

See below for interesting mathematical facts about the number 19164 from the Numbermatics database.


Names of 19164

  • Cardinal: 19164 can be written as Nineteen thousand, one hundred sixty-four.

Scientific notation

  • Scientific notation: 1.9164 × 104

Factors of 19164

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 4
  • Sum of prime factors: 1602

Divisors of 19164

  • Number of divisors d(n): 12
  • Complete list of divisors:
  • Sum of all divisors σ(n): 44744
  • Sum of proper divisors (its aliquot sum) s(n): 25580
  • 19164 is an abundant number, because the sum of its proper divisors (25580) is greater than itself. Its abundance is 6416

Bases of 19164

  • Binary: 1001010110111002
  • Hexadecimal: 0x4ADC
  • Base-36: ESC

Squares and roots of 19164

  • 19164 squared (191642) is 367258896
  • 19164 cubed (191643) is 7038149482944
  • The square root of 19164 is 138.4340998453
  • The cube root of 19164 is 26.7605717087

Scales and comparisons

How big is 19164?
  • 19,164 seconds is equal to 5 hours, 19 minutes, 24 seconds.
  • To count from 1 to 19,164 would take you about five hours.

    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 19164 cubic inches would be around 2.2 feet tall.

Recreational maths with 19164

  • 19164 backwards is 46191
  • The number of decimal digits it has is: 5
  • The sum of 19164's digits is 21
  • More coming soon!

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"Number 19164 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.

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Numbermatics. (2024). Number 19164 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/19164/

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Numbermatics. 2024. "Number 19164 - Facts about the integer". https://numbermatics.com/n/19164/

The information we have on file for 19164 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 19164, math, Factors of 19164, curriculum, school, college, exams, university, Prime factorization of 19164, STEM, science, technology, engineering, physics, economics, calculator, nineteen thousand, one hundred sixty-four.

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