19872

19,872 is an even composite number composed of three prime numbers multiplied together.

What does the number 19872 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

19872 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 19872:

2⁵ × 3³ × 23

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 19872 from the Numbermatics database.

Names of 19872

Cardinal: 19872 can be written as Nineteen thousand, eight hundred seventy-two.

Scientific notation

Scientific notation: 1.9872 × 10⁴

Factors of 19872

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 28

Divisors of 19872

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 9936 19872
Sum of all divisors σ(n): 60480
Sum of proper divisors (its aliquot sum) s(n): 40608
19872 is an abundant number, because the sum of its proper divisors (40608) is greater than itself. Its abundance is 20736

Bases of 19872

Binary: 100110110100000₂
Hexadecimal: 0x4DA0
Base-36: FC0

Squares and roots of 19872

19872 squared (19872²) is 394896384
19872 cubed (19872³) is 7847380942848
The square root of 19872 is 140.9680814937
The cube root of 19872 is 27.0861446129

Scales and comparisons

How big is 19872?

19,872 seconds is equal to 5 hours, 31 minutes, 12 seconds.
To count from 1 to 19,872 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 19872 cubic inches would be around 2.3 feet tall.

Recreational maths with 19872

19872 backwards is 27891
19872 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 19872's digits is 27
More coming soon!

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The information we have on file for 19872 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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