125952

125,952 is an even composite number composed of three prime numbers multiplied together.

What does the number 125952 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 44 divisors.

125952 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-four divisors.

Prime factorization of 125952:

2¹⁰ × 3 × 41

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 41)

See below for interesting mathematical facts about the number 125952 from the Numbermatics database.

Names of 125952

Cardinal: 125952 can be written as One hundred twenty-five thousand, nine hundred fifty-two.

Scientific notation

Scientific notation: 1.25952 × 10⁵

Factors of 125952

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 12
Sum of prime factors: 46

Divisors of 125952

Number of divisors d(n): 44
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2624 3072 3936 5248 7872 10496 15744 20992 31488 41984 62976 125952
Sum of all divisors σ(n): 343896
Sum of proper divisors (its aliquot sum) s(n): 217944
125952 is an abundant number, because the sum of its proper divisors (217944) is greater than itself. Its abundance is 91992

Bases of 125952

Binary: 11110110000000000₂
Hexadecimal: 0x1EC00
Base-36: 2P6O

Squares and roots of 125952

125952 squared (125952²) is 15863906304
125952 cubed (125952³) is 1998090726801408
The square root of 125952 is 354.8971682051
The cube root of 125952 is 50.1266124485

Scales and comparisons

How big is 125952?

125,952 seconds is equal to 1 day, 10 hours, 59 minutes, 12 seconds.
To count from 1 to 125,952 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 125952 cubic inches would be around 4.2 feet tall.

Recreational maths with 125952

125952 backwards is 259521
125952 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 125952's digits is 24
More coming soon!

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The information we have on file for 125952 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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