108972

108,972 is an even composite number composed of three prime numbers multiplied together.

What does the number 108972 look like?

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

108972 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 108972:

2² × 3³ × 1009

(2 × 2 × 3 × 3 × 3 × 1009)

See below for interesting mathematical facts about the number 108972 from the Numbermatics database.

Names of 108972

Cardinal: 108972 can be written as One hundred eight thousand, nine hundred seventy-two.

Scientific notation

Scientific notation: 1.08972 × 10⁵

Factors of 108972

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 1014

Divisors of 108972

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 9 12 18 27 36 54 108 1009 2018 3027 4036 6054 9081 12108 18162 27243 36324 54486 108972
Sum of all divisors σ(n): 282800
Sum of proper divisors (its aliquot sum) s(n): 173828
108972 is an abundant number, because the sum of its proper divisors (173828) is greater than itself. Its abundance is 64856

Bases of 108972

Binary: 11010100110101100₂
Hexadecimal: 0x1A9AC
Base-36: 2C30

Squares and roots of 108972

108972 squared (108972²) is 11874896784
108972 cubed (108972³) is 1294031252346048
The square root of 108972 is 330.1090728835
The cube root of 108972 is 47.7644711857

Scales and comparisons

How big is 108972?

108,972 seconds is equal to 1 day, 6 hours, 16 minutes, 12 seconds.
To count from 1 to 108,972 would take you about six 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 108972 cubic inches would be around 4 feet tall.

Recreational maths with 108972

108972 backwards is 279801
108972 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 108972's digits is 27
More coming soon!

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The information we have on file for 108972 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!

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