199728

199,728 is an even composite number composed of four prime numbers multiplied together.

What does the number 199728 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

199728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 199728:

2⁴ × 3² × 19 × 73

(2 × 2 × 2 × 2 × 3 × 3 × 19 × 73)

See below for interesting mathematical facts about the number 199728 from the Numbermatics database.

Names of 199728

Cardinal: 199728 can be written as One hundred ninety-nine thousand, seven hundred twenty-eight.

Scientific notation

Scientific notation: 1.99728 × 10⁵

Factors of 199728

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 97

Divisors of 199728

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 73 76 114 144 146 152 171 219 228 292 304 342 438 456 584 657 684 876 912 1168 1314 1368 1387 1752 2628 2736 2774 3504 4161 5256 5548 8322 10512 11096 12483 16644 22192 24966 33288 49932 66576 99864 199728
Sum of all divisors σ(n): 596440
Sum of proper divisors (its aliquot sum) s(n): 396712
199728 is an abundant number, because the sum of its proper divisors (396712) is greater than itself. Its abundance is 196984

Bases of 199728

Binary: 110000110000110000₂
Hexadecimal: 0x30C30
Base-36: 4A40

Squares and roots of 199728

199728 squared (199728²) is 39891273984
199728 cubed (199728³) is 7967404370276352
The square root of 199728 is 446.9093867889
The cube root of 199728 is 58.4538316425

Scales and comparisons

How big is 199728?

199,728 seconds is equal to 2 days, 7 hours, 28 minutes, 48 seconds.
To count from 1 to 199,728 would take you about two days.

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 199728 cubic inches would be around 4.9 feet tall.

Recreational maths with 199728

199728 backwards is 827991
199728 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 199728's digits is 36
More coming soon!

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The information we have on file for 199728 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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