10824

10,824 is an even composite number composed of four prime numbers multiplied together.

What does the number 10824 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

10824 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 10824:

2³ × 3 × 11 × 41

(2 × 2 × 2 × 3 × 11 × 41)

See below for interesting mathematical facts about the number 10824 from the Numbermatics database.

Names of 10824

Cardinal: 10824 can be written as Ten thousand, eight hundred twenty-four.

Scientific notation

Scientific notation: 1.0824 × 10⁴

Factors of 10824

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 57

Divisors of 10824

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824
Sum of all divisors σ(n): 30240
Sum of proper divisors (its aliquot sum) s(n): 19416
10824 is an abundant number, because the sum of its proper divisors (19416) is greater than itself. Its abundance is 8592

Bases of 10824

Binary: 10101001001000₂
Hexadecimal: 0x2A48
Base-36: 8CO

Squares and roots of 10824

10824 squared (10824²) is 117158976
10824 cubed (10824³) is 1268128756224
The square root of 10824 is 104.0384544291
The cube root of 10824 is 22.1205503517

Scales and comparisons

How big is 10824?

10,824 seconds is equal to 3 hours, 24 seconds.
To count from 1 to 10,824 would take you about three 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 10824 cubic inches would be around 1.8 feet tall.

Recreational maths with 10824

10824 backwards is 42801
The number of decimal digits it has is: 5
The sum of 10824's digits is 15
More coming soon!

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The information we have on file for 10824 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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