20160

20,160 is an even composite number composed of four prime numbers multiplied together.

What does the number 20160 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

20160 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

Prime factorization of 20160:

26 × 32 × 5 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 20160 from the Numbermatics database.

Names of 20160

• Cardinal: 20160 can be written as Twenty thousand, one hundred sixty.

Scientific notation

• Scientific notation: 2.016 × 104

Factors of 20160

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 17

Divisors of 20160

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 79248
• Sum of proper divisors (its aliquot sum) s(n): 59088
• 20160 is an abundant number, because the sum of its proper divisors (59088) is greater than itself. Its abundance is 38928

Bases of 20160

• Binary: 1001110110000002
• Base-36: FK0

Squares and roots of 20160

• 20160 squared (201602) is 406425600
• 20160 cubed (201603) is 8193540096000
• The square root of 20160 is 141.9859147943
• The cube root of 20160 is 27.2163684639

Scales and comparisons

How big is 20160?
• 20,160 seconds is equal to 5 hours, 36 minutes.
• To count from 1 to 20,160 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 20160 cubic inches would be around 2.3 feet tall.

Recreational maths with 20160

• 20160 backwards is 06102
• 20160 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 20160's digits is 9
• More coming soon!

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