19728

19,728 is an even composite number composed of three prime numbers multiplied together.

What does the number 19728 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

19728 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 19728:

2⁴ × 3² × 137

(2 × 2 × 2 × 2 × 3 × 3 × 137)

See below for interesting mathematical facts about the number 19728 from the Numbermatics database.

Names of 19728

Cardinal: 19728 can be written as Nineteen thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 1.9728 × 10⁴

Factors of 19728

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 142

Divisors of 19728

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728
Sum of all divisors σ(n): 55614
Sum of proper divisors (its aliquot sum) s(n): 35886
19728 is an abundant number, because the sum of its proper divisors (35886) is greater than itself. Its abundance is 16158

Bases of 19728

Binary: 100110100010000₂
Hexadecimal: 0x4D10
Base-36: F80

Squares and roots of 19728

19728 squared (19728²) is 389193984
19728 cubed (19728³) is 7678018916352
The square root of 19728 is 140.4563989287
The cube root of 19728 is 27.0205604709

Scales and comparisons

How big is 19728?

19,728 seconds is equal to 5 hours, 28 minutes, 48 seconds.
To count from 1 to 19,728 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 19728 cubic inches would be around 2.3 feet tall.

Recreational maths with 19728

19728 backwards is 82791
The number of decimal digits it has is: 5
The sum of 19728's digits is 27
More coming soon!

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The information we have on file for 19728 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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