13728960
13,728,960 is an even composite number composed of five prime numbers multiplied together.
13728960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 13728960:
26 × 33 × 5 × 7 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 227)See below for interesting mathematical facts about the number 13728960 from the Numbermatics database.
Names of 13728960
- Cardinal: 13728960 can be written as Thirteen million, seven hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.372896 × 107
Factors of 13728960
Divisors of 13728960
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 227 240 252 270 280 288 315 320 336 360 378 420 432 448 454 480 504 540 560 576 630 672 681 720 756 840 864 908 945 960 1008 1080 1120 1135 1260 1344 1362 1440 1512 1589 1680 1728 1816 1890 2016 2043 2160 2240 2270 2520 2724 2880 3024 3178 3360 3405 3632 3780 4032 4086 4320 4540 4767 5040 5448 6048 6129 6356 6720 6810 7264 7560 7945 8172 8640 9080 9534 10080 10215 10896 12096 12258 12712 13620 14301 14528 15120 15890 16344 18160 19068 20160 20430 21792 23835 24516 25424 27240 28602 30240 30645 31780 32688 36320 38136 40860 42903 43584 47670 49032 50848 54480 57204 60480 61290 63560 65376 71505 72640 76272 81720 85806 95340 98064 101696 108960 114408 122580 127120 130752 143010 152544 163440 171612 190680 196128 214515 217920 228816 245160 254240 286020 305088 326880 343224 381360 392256 429030 457632 490320 508480 572040 653760 686448 762720 858060 915264 980640 1144080 1372896 1525440 1716120 1961280 2288160 2745792 3432240 4576320 6864480 13728960
- Sum of all divisors σ(n): 55595520
- Sum of proper divisors (its aliquot sum) s(n): 41866560
- 13728960 is an abundant number, because the sum of its proper divisors (41866560) is greater than itself. Its abundance is 28137600
Bases of 13728960
- Binary: 1101000101111100110000002
- Hexadecimal: 0xD17CC0
- Base-36: 869C0
Squares and roots of 13728960
- 13728960 squared (137289602) is 188484342681600
- 13728960 cubed (137289603) is 2587694001301979136000
-
The
square root of 13728960 is 3705.2611244013 -
The
cube root of 13728960 is 239.4487347471
Scales and comparisons
How big is 13728960?- 13,728,960 seconds is equal to 22 weeks, 4 days, 21 hours, 36 minutes.
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To count from 1 to 13,728,960 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 13728960 cubic inches would be around 20 feet tall.
Recreational maths with 13728960
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The information we have on file for 13728960 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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