13764960
13,764,960 is an even composite number composed of five prime numbers multiplied together.
13764960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 13764960:
25 × 32 × 5 × 112 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 79)See below for interesting mathematical facts about the number 13764960 from the Numbermatics database.
Names of 13764960
- Cardinal: 13764960 can be written as Thirteen million, seven hundred sixty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.376496 × 107
Factors of 13764960
Divisors of 13764960
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 79 80 88 90 96 99 110 120 121 132 144 158 160 165 176 180 198 220 237 240 242 264 288 316 330 352 360 363 395 396 440 474 480 484 495 528 605 632 660 711 720 726 790 792 869 880 948 968 990 1056 1089 1185 1210 1264 1320 1422 1440 1452 1580 1584 1738 1760 1815 1896 1936 1980 2178 2370 2420 2528 2607 2640 2844 2904 3160 3168 3476 3555 3630 3792 3872 3960 4345 4356 4740 4840 5214 5280 5445 5688 5808 6320 6952 7110 7260 7584 7821 7920 8690 8712 9480 9559 9680 10428 10890 11376 11616 12640 13035 13904 14220 14520 15642 15840 17380 17424 18960 19118 19360 20856 21780 22752 26070 27808 28440 28677 29040 31284 34760 34848 37920 38236 39105 41712 43560 47795 52140 56880 57354 58080 62568 69520 76472 78210 83424 86031 87120 95590 104280 113760 114708 125136 139040 143385 152944 156420 172062 174240 191180 208560 229416 250272 286770 305888 312840 344124 382360 417120 430155 458832 573540 625680 688248 764720 860310 917664 1147080 1251360 1376496 1529440 1720620 2294160 2752992 3441240 4588320 6882480 13764960
- Sum of all divisors σ(n): 52284960
- Sum of proper divisors (its aliquot sum) s(n): 38520000
- 13764960 is an abundant number, because the sum of its proper divisors (38520000) is greater than itself. Its abundance is 24755040
Bases of 13764960
- Binary: 1101001000001001011000002
- Hexadecimal: 0xD20960
- Base-36: 87140
Squares and roots of 13764960
- 13764960 squared (137649602) is 189474123801600
- 13764960 cubed (137649603) is 2608103735164071936000
-
The
square root of 13764960 is 3710.1159011545 -
The
cube root of 13764960 is 239.6578457755
Scales and comparisons
How big is 13764960?- 13,764,960 seconds is equal to 22 weeks, 5 days, 7 hours, 36 minutes.
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To count from 1 to 13,764,960 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 13764960 cubic inches would be around 20 feet tall.
Recreational maths with 13764960
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