19800

19,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 19800 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

19800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 19800:

2³ × 3² × 5² × 11

(2 × 2 × 2 × 3 × 3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 19800 from the Numbermatics database.

Names of 19800

Cardinal: 19800 can be written as Nineteen thousand, eight hundred.

Scientific notation

Scientific notation: 1.98 × 10⁴

Factors of 19800

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 21

Divisors of 19800

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800
Sum of all divisors σ(n): 72540
Sum of proper divisors (its aliquot sum) s(n): 52740
19800 is an abundant number, because the sum of its proper divisors (52740) is greater than itself. Its abundance is 32940

Bases of 19800

Binary: 100110101011000₂
Hexadecimal: 0x4D58
Base-36: FA0

Squares and roots of 19800

19800 squared (19800²) is 392040000
19800 cubed (19800³) is 7762392000000
The square root of 19800 is 140.7124727947
The cube root of 19800 is 27.0533922899

Scales and comparisons

How big is 19800?

19,800 seconds is equal to 5 hours, 30 minutes.
To count from 1 to 19,800 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 19800 cubic inches would be around 2.3 feet tall.

Recreational maths with 19800

19800 backwards is 00891
19800 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 19800's digits is 18
More coming soon!

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The information we have on file for 19800 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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