13188200
13,188,200 is an even composite number composed of five prime numbers multiplied together.
13188200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 13188200:
23 × 52 × 23 × 47 × 61
(2 × 2 × 2 × 5 × 5 × 23 × 47 × 61)See below for interesting mathematical facts about the number 13188200 from the Numbermatics database.
Names of 13188200
- Cardinal: 13188200 can be written as Thirteen million, one hundred eighty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.31882 × 107
Factors of 13188200
Divisors of 13188200
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 20 23 25 40 46 47 50 61 92 94 100 115 122 184 188 200 230 235 244 305 376 460 470 488 575 610 920 940 1081 1150 1175 1220 1403 1525 1880 2162 2300 2350 2440 2806 2867 3050 4324 4600 4700 5405 5612 5734 6100 7015 8648 9400 10810 11224 11468 12200 14030 14335 21620 22936 27025 28060 28670 35075 43240 54050 56120 57340 65941 70150 71675 108100 114680 131882 140300 143350 216200 263764 280600 286700 329705 527528 573400 659410 1318820 1648525 2637640 3297050 6594100 13188200
- Sum of all divisors σ(n): 33212160
- Sum of proper divisors (its aliquot sum) s(n): 20023960
- 13188200 is an abundant number, because the sum of its proper divisors (20023960) is greater than itself. Its abundance is 6835760
Bases of 13188200
- Binary: 1100100100111100011010002
- Hexadecimal: 0xC93C68
- Base-36: 7UO2W
Squares and roots of 13188200
- 13188200 squared (131882002) is 173928619240000
- 13188200 cubed (131882003) is 2293805416260968000000
-
The
square root of 13188200 is 3631.5561402793 -
The
cube root of 13188200 is 236.2627065943
Scales and comparisons
How big is 13188200?- 13,188,200 seconds is equal to 21 weeks, 5 days, 15 hours, 23 minutes, 20 seconds.
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To count from 1 to 13,188,200 would take you about thirty-two weeks!
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 13188200 cubic inches would be around 19.7 feet tall.
Recreational maths with 13188200
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The information we have on file for 13188200 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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