19712

19,712 is an even composite number composed of three prime numbers multiplied together.

What does the number 19712 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

19712 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 19712:

28 × 7 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11)

See below for interesting mathematical facts about the number 19712 from the Numbermatics database.

Names of 19712

• Cardinal: 19712 can be written as Nineteen thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 1.9712 × 104

Factors of 19712

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 20

Divisors of 19712

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 49056
• Sum of proper divisors (its aliquot sum) s(n): 29344
• 19712 is an abundant number, because the sum of its proper divisors (29344) is greater than itself. Its abundance is 9632

Bases of 19712

• Binary: 1001101000000002
• Base-36: F7K

Squares and roots of 19712

• 19712 squared (197122) is 388562944
• 19712 cubed (197123) is 7659352752128
• The square root of 19712 is 140.3994301983
• The cube root of 19712 is 27.0132536669

Scales and comparisons

How big is 19712?
• 19,712 seconds is equal to 5 hours, 28 minutes, 32 seconds.
• To count from 1 to 19,712 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 19712 cubic inches would be around 2.3 feet tall.

Recreational maths with 19712

• 19712 backwards is 21791
• The number of decimal digits it has is: 5
• The sum of 19712's digits is 20
• More coming soon!

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