123872

123,872 is an even composite number composed of three prime numbers multiplied together.

What does the number 123872 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

123872 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 123872:

2⁵ × 7² × 79

(2 × 2 × 2 × 2 × 2 × 7 × 7 × 79)

See below for interesting mathematical facts about the number 123872 from the Numbermatics database.

Names of 123872

Cardinal: 123872 can be written as One hundred twenty-three thousand, eight hundred seventy-two.

Scientific notation

Scientific notation: 1.23872 × 10⁵

Factors of 123872

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 88

Divisors of 123872

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 392 553 632 784 1106 1264 1568 2212 2528 3871 4424 7742 8848 15484 17696 30968 61936 123872
Sum of all divisors σ(n): 287280
Sum of proper divisors (its aliquot sum) s(n): 163408
123872 is an abundant number, because the sum of its proper divisors (163408) is greater than itself. Its abundance is 39536

Bases of 123872

Binary: 11110001111100000₂
Hexadecimal: 0x1E3E0
Base-36: 2NKW

Squares and roots of 123872

123872 squared (123872²) is 15344272384
123872 cubed (123872³) is 1900725708750848
The square root of 123872 is 351.9545425193
The cube root of 123872 is 49.8491453151

Scales and comparisons

How big is 123872?

123,872 seconds is equal to 1 day, 10 hours, 24 minutes, 32 seconds.
To count from 1 to 123,872 would take you about ten 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 123872 cubic inches would be around 4.2 feet tall.

Recreational maths with 123872

123872 backwards is 278321
The number of decimal digits it has is: 6
The sum of 123872's digits is 23
More coming soon!

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The information we have on file for 123872 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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