23688

23,688 is an even composite number composed of four prime numbers multiplied together.

What does the number 23688 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

23688 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 23688:

2³ × 3² × 7 × 47

(2 × 2 × 2 × 3 × 3 × 7 × 47)

See below for interesting mathematical facts about the number 23688 from the Numbermatics database.

Names of 23688

Cardinal: 23688 can be written as Twenty-three thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 2.3688 × 10⁴

Factors of 23688

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 59

Divisors of 23688

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1974 2632 2961 3384 3948 5922 7896 11844 23688
Sum of all divisors σ(n): 74880
Sum of proper divisors (its aliquot sum) s(n): 51192
23688 is an abundant number, because the sum of its proper divisors (51192) is greater than itself. Its abundance is 27504

Bases of 23688

Binary: 101110010001000₂
Hexadecimal: 0x5C88
Base-36: IA0

Squares and roots of 23688

23688 squared (23688²) is 561121344
23688 cubed (23688³) is 13291842396672
The square root of 23688 is 153.9090640605
The cube root of 23688 is 28.7194508525

Scales and comparisons

How big is 23688?

23,688 seconds is equal to 6 hours, 34 minutes, 48 seconds.
To count from 1 to 23,688 would take you about six 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 23688 cubic inches would be around 2.4 feet tall.

Recreational maths with 23688

23688 backwards is 88632
The number of decimal digits it has is: 5
The sum of 23688's digits is 27
More coming soon!

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The information we have on file for 23688 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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