13872000
13,872,000 is an even composite number composed of four prime numbers multiplied together.
13872000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13872000:
27 × 3 × 53 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17)See below for interesting mathematical facts about the number 13872000 from the Numbermatics database.
Names of 13872000
- Cardinal: 13872000 can be written as Thirteen million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3872 × 107
Factors of 13872000
Divisors of 13872000
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 125 128 136 150 160 170 192 200 204 240 250 255 272 289 300 320 340 375 384 400 408 425 480 500 510 544 578 600 640 680 750 800 816 850 867 960 1000 1020 1088 1156 1200 1275 1360 1445 1500 1600 1632 1700 1734 1920 2000 2040 2125 2176 2312 2400 2550 2720 2890 3000 3200 3264 3400 3468 4000 4080 4250 4335 4624 4800 5100 5440 5780 6000 6375 6528 6800 6936 7225 8000 8160 8500 8670 9248 9600 10200 10880 11560 12000 12750 13600 13872 14450 16000 16320 17000 17340 18496 20400 21675 23120 24000 25500 27200 27744 28900 32640 34000 34680 36125 36992 40800 43350 46240 48000 51000 54400 55488 57800 68000 69360 72250 81600 86700 92480 102000 108375 110976 115600 136000 138720 144500 163200 173400 184960 204000 216750 231200 272000 277440 289000 346800 408000 433500 462400 554880 578000 693600 816000 867000 924800 1156000 1387200 1734000 2312000 2774400 3468000 4624000 6936000 13872000
- Sum of all divisors σ(n): 48849840
- Sum of proper divisors (its aliquot sum) s(n): 34977840
- 13872000 is an abundant number, because the sum of its proper divisors (34977840) is greater than itself. Its abundance is 21105840
Bases of 13872000
- Binary: 1101001110101011100000002
- Hexadecimal: 0xD3AB80
- Base-36: 89BPC
Squares and roots of 13872000
- 13872000 squared (138720002) is 192432384000000
- 13872000 cubed (138720003) is 2669422030848000000000
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The
square root of 13872000 is 3724.5133910351 -
The
cube root of 13872000 is 240.2774568947
Scales and comparisons
How big is 13872000?- 13,872,000 seconds is equal to 22 weeks, 6 days, 13 hours, 20 minutes.
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To count from 1 to 13,872,000 would take you about thirty-four 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 13872000 cubic inches would be around 20 feet tall.
Recreational maths with 13872000
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