102752

102,752 is an even composite number composed of three prime numbers multiplied together.

What does the number 102752 look like?

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

102752 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 102752:

2⁵ × 13² × 19

(2 × 2 × 2 × 2 × 2 × 13 × 13 × 19)

See below for interesting mathematical facts about the number 102752 from the Numbermatics database.

Names of 102752

Cardinal: 102752 can be written as One hundred two thousand, seven hundred fifty-two.

Scientific notation

Scientific notation: 1.02752 × 10⁵

Factors of 102752

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 34

Divisors of 102752

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 8 13 16 19 26 32 38 52 76 104 152 169 208 247 304 338 416 494 608 676 988 1352 1976 2704 3211 3952 5408 6422 7904 12844 25688 51376 102752
Sum of all divisors σ(n): 230580
Sum of proper divisors (its aliquot sum) s(n): 127828
102752 is an abundant number, because the sum of its proper divisors (127828) is greater than itself. Its abundance is 25076

Bases of 102752

Binary: 11001000101100000₂
Hexadecimal: 0x19160
Base-36: 27A8

Squares and roots of 102752

102752 squared (102752²) is 10557973504
102752 cubed (102752³) is 1084852893483008
The square root of 102752 is 320.5495281543
The cube root of 102752 is 46.8378294957

Scales and comparisons

How big is 102752?

102,752 seconds is equal to 1 day, 4 hours, 32 minutes, 32 seconds.
To count from 1 to 102,752 would take you about four 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 102752 cubic inches would be around 3.9 feet tall.

Recreational maths with 102752

102752 backwards is 257201
The number of decimal digits it has is: 6
The sum of 102752's digits is 17
More coming soon!

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The information we have on file for 102752 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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