107952

107,952 is an even composite number composed of four prime numbers multiplied together.

What does the number 107952 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

107952 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 107952:

2⁴ × 3 × 13 × 173

(2 × 2 × 2 × 2 × 3 × 13 × 173)

See below for interesting mathematical facts about the number 107952 from the Numbermatics database.

Names of 107952

Cardinal: 107952 can be written as One hundred seven thousand, nine hundred fifty-two.

Scientific notation

Scientific notation: 1.07952 × 10⁵

Factors of 107952

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 191

Divisors of 107952

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 312 346 519 624 692 1038 1384 2076 2249 2768 4152 4498 6747 8304 8996 13494 17992 26988 35984 53976 107952
Sum of all divisors σ(n): 302064
Sum of proper divisors (its aliquot sum) s(n): 194112
107952 is an abundant number, because the sum of its proper divisors (194112) is greater than itself. Its abundance is 86160

Bases of 107952

Binary: 11010010110110000₂
Hexadecimal: 0x1A5B0
Base-36: 2BAO

Squares and roots of 107952

107952 squared (107952²) is 11653634304
107952 cubed (107952³) is 1258033130385408
The square root of 107952 is 328.5604967125
The cube root of 107952 is 47.6149753977

Scales and comparisons

How big is 107952?

107,952 seconds is equal to 1 day, 5 hours, 59 minutes, 12 seconds.
To count from 1 to 107,952 would take you about five 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 107952 cubic inches would be around 4 feet tall.

Recreational maths with 107952

107952 backwards is 259701
107952 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 107952's digits is 24
More coming soon!

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The information we have on file for 107952 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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