18768

18,768 is an even composite number composed of four prime numbers multiplied together.

What does the number 18768 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

18768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 18768:

2⁴ × 3 × 17 × 23

(2 × 2 × 2 × 2 × 3 × 17 × 23)

See below for interesting mathematical facts about the number 18768 from the Numbermatics database.

Names of 18768

Cardinal: 18768 can be written as Eighteen thousand, seven hundred sixty-eight.

Scientific notation

Scientific notation: 1.8768 × 10⁴

Factors of 18768

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 45

Divisors of 18768

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 18768
Sum of all divisors σ(n): 53568
Sum of proper divisors (its aliquot sum) s(n): 34800
18768 is an abundant number, because the sum of its proper divisors (34800) is greater than itself. Its abundance is 16032

Bases of 18768

Binary: 100100101010000₂
Hexadecimal: 0x4950
Base-36: EHC

Squares and roots of 18768

18768 squared (18768²) is 352237824
18768 cubed (18768³) is 6610799480832
The square root of 18768 is 136.9963503163
The cube root of 18768 is 26.5749627791

Scales and comparisons

How big is 18768?

18,768 seconds is equal to 5 hours, 12 minutes, 48 seconds.
To count from 1 to 18,768 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 18768 cubic inches would be around 2.2 feet tall.

Recreational maths with 18768

18768 backwards is 86781
The number of decimal digits it has is: 5
The sum of 18768's digits is 30
More coming soon!

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The information we have on file for 18768 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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