1,188 is an even composite number composed of three prime numbers multiplied together.

What does the number 1188 look like?

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

1188 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 1188:

22 × 33 × 11

(2 × 2 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 1188 from the Numbermatics database.

Names of 1188

  • Cardinal: 1188 can be written as One thousand, one hundred eighty-eight.

Scientific notation

  • Scientific notation: 1.188 × 103

Factors of 1188

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 6
  • Sum of prime factors: 16

Divisors of 1188

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 3360
  • Sum of proper divisors (its aliquot sum) s(n): 2172
  • 1188 is an abundant number, because the sum of its proper divisors (2172) is greater than itself. Its abundance is 984

Bases of 1188

  • Binary: 100101001002
  • Hexadecimal: 0x4A4
  • Base-36: X0

Squares and roots of 1188

  • 1188 squared (11882) is 1411344
  • 1188 cubed (11883) is 1676676672
  • The square root of 1188 is 34.4673758793
  • The cube root of 1188 is 10.5910450059

Scales and comparisons

How big is 1188?
  • 1,188 seconds is equal to 19 minutes, 48 seconds.
  • To count from 1 to 1,188 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 1188 cubic inches would be around 0.9 feet tall.

Recreational maths with 1188

  • 1188 backwards is 8811
  • 1188 is a Harshad number.
  • The number of decimal digits it has is: 4
  • The sum of 1188's digits is 18
  • More coming soon!

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"Number 1188 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.

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Numbermatics. (2024). Number 1188 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/1188/

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Numbermatics. 2024. "Number 1188 - Facts about the integer". https://numbermatics.com/n/1188/

The information we have on file for 1188 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 1188, math, Factors of 1188, curriculum, school, college, exams, university, Prime factorization of 1188, STEM, science, technology, engineering, physics, economics, calculator, one thousand, one hundred eighty-eight.

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