20768

20,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 20768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

20768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 20768:

25 × 11 × 59

(2 × 2 × 2 × 2 × 2 × 11 × 59)

See below for interesting mathematical facts about the number 20768 from the Numbermatics database.

Names of 20768

• Cardinal: 20768 can be written as Twenty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.0768 × 104

Factors of 20768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 72

Divisors of 20768

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 45360
• Sum of proper divisors (its aliquot sum) s(n): 24592
• 20768 is an abundant number, because the sum of its proper divisors (24592) is greater than itself. Its abundance is 3824

Bases of 20768

• Binary: 1010001001000002
• Base-36: G0W

Squares and roots of 20768

• 20768 squared (207682) is 431309824
• 20768 cubed (207683) is 8957442424832
• The square root of 20768 is 144.1110682773
• The cube root of 20768 is 27.4872668325

Scales and comparisons

How big is 20768?
• 20,768 seconds is equal to 5 hours, 46 minutes, 8 seconds.
• To count from 1 to 20,768 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 20768 cubic inches would be around 2.3 feet tall.

Recreational maths with 20768

• 20768 backwards is 86702
• The number of decimal digits it has is: 5
• The sum of 20768's digits is 23
• More coming soon!

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"Number 20768 - Facts about the integer". Numbermatics.com. 2022. Web. 21 January 2022.

APA style:
Numbermatics. (2022). Number 20768 - Facts about the integer. Retrieved 21 January 2022, from https://numbermatics.com/n/20768/

Chicago style:
Numbermatics. 2022. "Number 20768 - Facts about the integer". https://numbermatics.com/n/20768/

The information we have on file for 20768 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!

Keywords: Divisors of 20768, math, Factors of 20768, curriculum, school, college, exams, university, Prime factorization of 20768, STEM, science, technology, engineering, physics, economics, calculator, twenty thousand, seven hundred sixty-eight.

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