10332

10,332 is an even composite number composed of four prime numbers multiplied together.

What does the number 10332 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

10332 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 10332:

2² × 3² × 7 × 41

(2 × 2 × 3 × 3 × 7 × 41)

See below for interesting mathematical facts about the number 10332 from the Numbermatics database.

Names of 10332

Cardinal: 10332 can be written as Ten thousand, three hundred thirty-two.

Scientific notation

Scientific notation: 1.0332 × 10⁴

Factors of 10332

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 53

Divisors of 10332

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332
Sum of all divisors σ(n): 30576
Sum of proper divisors (its aliquot sum) s(n): 20244
10332 is an abundant number, because the sum of its proper divisors (20244) is greater than itself. Its abundance is 9912

Bases of 10332

Binary: 10100001011100₂
Hexadecimal: 0x285C
Base-36: 7Z0

Squares and roots of 10332

10332 squared (10332²) is 106750224
10332 cubed (10332³) is 1102943314368
The square root of 10332 is 101.6464460765
The cube root of 10332 is 21.7801800609

Scales and comparisons

How big is 10332?

10,332 seconds is equal to 2 hours, 52 minutes, 12 seconds.
To count from 1 to 10,332 would take you about two 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 10332 cubic inches would be around 1.8 feet tall.

Recreational maths with 10332

10332 backwards is 23301
10332 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 10332's digits is 9
More coming soon!

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The information we have on file for 10332 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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