20352

20,352 is an even composite number composed of three prime numbers multiplied together.

What does the number 20352 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

20352 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 20352:

2⁷ × 3 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 53)

See below for interesting mathematical facts about the number 20352 from the Numbermatics database.

Names of 20352

Cardinal: 20352 can be written as Twenty thousand, three hundred fifty-two.

Scientific notation

Scientific notation: 2.0352 × 10⁴

Factors of 20352

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 58

Divisors of 20352

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352
Sum of all divisors σ(n): 55080
Sum of proper divisors (its aliquot sum) s(n): 34728
20352 is an abundant number, because the sum of its proper divisors (34728) is greater than itself. Its abundance is 14376

Bases of 20352

Binary: 100111110000000₂
Hexadecimal: 0x4F80
Base-36: FPC

Squares and roots of 20352

20352 squared (20352²) is 414203904
20352 cubed (20352³) is 8429877854208
The square root of 20352 is 142.6604360011
The cube root of 20352 is 27.3024967863

Scales and comparisons

How big is 20352?

20,352 seconds is equal to 5 hours, 39 minutes, 12 seconds.
To count from 1 to 20,352 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 20352 cubic inches would be around 2.3 feet tall.

Recreational maths with 20352

20352 backwards is 25302
20352 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 20352's digits is 12
More coming soon!

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The information we have on file for 20352 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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