20736

20,736 is an even composite number composed of two prime numbers multiplied together.

What does the number 20736 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 45 divisors.

20736 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-five divisors.

Prime factorization of 20736:

2⁸ × 3⁴

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 20736 from the Numbermatics database.

Names of 20736

Cardinal: 20736 can be written as Twenty thousand, seven hundred thirty-six.

Scientific notation

Scientific notation: 2.0736 × 10⁴

Factors of 20736

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 12
Sum of prime factors: 5

Divisors of 20736

Number of divisors d(n): 45
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736
Sum of all divisors σ(n): 61831
Sum of proper divisors (its aliquot sum) s(n): 41095
20736 is an abundant number, because the sum of its proper divisors (41095) is greater than itself. Its abundance is 20359

Bases of 20736

Binary: 101000100000000₂
Hexadecimal: 0x5100
Base-36: G00

Squares and roots of 20736

20736 squared (20736²) is 429981696
20736 cubed (20736³) is 8916100448256
20736 is a perfect square number. Its square root is 144
The cube root of 20736 is 27.4731418213

Scales and comparisons

How big is 20736?

20,736 seconds is equal to 5 hours, 45 minutes, 36 seconds.
To count from 1 to 20,736 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 20736 cubic inches would be around 2.3 feet tall.

Recreational maths with 20736

20736 backwards is 63702
20736 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 20736's digits is 18
More coming soon!

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The information we have on file for 20736 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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