125856

125,856 is an even composite number composed of four prime numbers multiplied together.

What does the number 125856 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

125856 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 125856:

2⁵ × 3² × 19 × 23

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 23)

See below for interesting mathematical facts about the number 125856 from the Numbermatics database.

Names of 125856

Cardinal: 125856 can be written as One hundred twenty-five thousand, eight hundred fifty-six.

Scientific notation

Scientific notation: 1.25856 × 10⁵

Factors of 125856

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 47

Divisors of 125856

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 456 552 608 684 736 828 874 912 1104 1311 1368 1656 1748 1824 2208 2622 2736 3312 3496 3933 5244 5472 6624 6992 7866 10488 13984 15732 20976 31464 41952 62928 125856
Sum of all divisors σ(n): 393120
Sum of proper divisors (its aliquot sum) s(n): 267264
125856 is an abundant number, because the sum of its proper divisors (267264) is greater than itself. Its abundance is 141408

Bases of 125856

Binary: 11110101110100000₂
Hexadecimal: 0x1EBA0
Base-36: 2P40

Squares and roots of 125856

125856 squared (125856²) is 15839732736
125856 cubed (125856³) is 1993525403222016
The square root of 125856 is 354.7618919783
The cube root of 125856 is 50.1138737917

Scales and comparisons

How big is 125856?

125,856 seconds is equal to 1 day, 10 hours, 57 minutes, 36 seconds.
To count from 1 to 125,856 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 125856 cubic inches would be around 4.2 feet tall.

Recreational maths with 125856

125856 backwards is 658521
The number of decimal digits it has is: 6
The sum of 125856's digits is 27
More coming soon!

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The information we have on file for 125856 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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