20688

20,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 20688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

20688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 20688:

2⁴ × 3 × 431

(2 × 2 × 2 × 2 × 3 × 431)

See below for interesting mathematical facts about the number 20688 from the Numbermatics database.

Names of 20688

Cardinal: 20688 can be written as Twenty thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 2.0688 × 10⁴

Factors of 20688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 436

Divisors of 20688

Number of divisors d(n): 20
Complete list of divisors:
1 2 3 4 6 8 12 16 24 48 431 862 1293 1724 2586 3448 5172 6896 10344 20688
Sum of all divisors σ(n): 53568
Sum of proper divisors (its aliquot sum) s(n): 32880
20688 is an abundant number, because the sum of its proper divisors (32880) is greater than itself. Its abundance is 12192

Bases of 20688

Binary: 101000011010000₂
Hexadecimal: 0x50D0
Base-36: FYO

Squares and roots of 20688

20688 squared (20688²) is 427993344
20688 cubed (20688³) is 8854326300672
The square root of 20688 is 143.8332367709
The cube root of 20688 is 27.4519270315

Scales and comparisons

How big is 20688?

20,688 seconds is equal to 5 hours, 44 minutes, 48 seconds.
To count from 1 to 20,688 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 20688 cubic inches would be around 2.3 feet tall.

Recreational maths with 20688

20688 backwards is 88602
20688 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 20688's digits is 24
More coming soon!

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The information we have on file for 20688 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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