13628160
13,628,160 is an even composite number composed of five prime numbers multiplied together.
13628160 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 13628160:
28 × 32 × 5 × 7 × 132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13)See below for interesting mathematical facts about the number 13628160 from the Numbermatics database.
Names of 13628160
- Cardinal: 13628160 can be written as Thirteen million, six hundred twenty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.362816 × 107
Factors of 13628160
Divisors of 13628160
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 169 180 182 192 195 208 210 224 234 240 252 256 260 273 280 288 312 315 320 336 338 360 364 384 390 416 420 448 455 468 480 504 507 520 546 560 576 585 624 630 640 672 676 720 728 768 780 819 832 840 845 896 910 936 960 1008 1014 1040 1092 1120 1152 1170 1183 1248 1260 1280 1344 1352 1365 1440 1456 1521 1560 1638 1664 1680 1690 1792 1820 1872 1920 2016 2028 2080 2184 2240 2304 2340 2366 2496 2520 2535 2688 2704 2730 2880 2912 3042 3120 3276 3328 3360 3380 3549 3640 3744 3840 4032 4056 4095 4160 4368 4480 4680 4732 4992 5040 5070 5376 5408 5460 5760 5824 5915 6084 6240 6552 6720 6760 7098 7280 7488 7605 8064 8112 8190 8320 8736 8960 9360 9464 9984 10080 10140 10647 10816 10920 11520 11648 11830 12168 12480 13104 13440 13520 14196 14560 14976 15210 16128 16224 16380 16640 17472 17745 18720 18928 20160 20280 21294 21632 21840 23296 23660 24336 24960 26208 26880 27040 28392 29120 29952 30420 32448 32760 34944 35490 37440 37856 40320 40560 42588 43264 43680 47320 48672 49920 52416 53235 54080 56784 58240 60840 64896 65520 69888 70980 74880 75712 80640 81120 85176 87360 94640 97344 104832 106470 108160 113568 116480 121680 129792 131040 141960 149760 151424 162240 170352 174720 189280 194688 209664 212940 216320 227136 243360 262080 283920 302848 324480 340704 349440 378560 389376 425880 454272 486720 524160 567840 648960 681408 757120 851760 908544 973440 1048320 1135680 1362816 1514240 1703520 1946880 2271360 2725632 3407040 4542720 6814080 13628160
- Sum of all divisors σ(n): 58352112
- Sum of proper divisors (its aliquot sum) s(n): 44723952
- 13628160 is an abundant number, because the sum of its proper divisors (44723952) is greater than itself. Its abundance is 31095792
Bases of 13628160
- Binary: 1100111111110011000000002
- Hexadecimal: 0xCFF300
- Base-36: 843K0
Squares and roots of 13628160
- 13628160 squared (136281602) is 185726744985600
- 13628160 cubed (136281603) is 2531113796942954496000
-
The
square root of 13628160 is 3691.6337846541 -
The
cube root of 13628160 is 238.8612722917
Scales and comparisons
How big is 13628160?- 13,628,160 seconds is equal to 22 weeks, 3 days, 17 hours, 36 minutes.
-
To count from 1 to 13,628,160 would take you about thirty-three 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 13628160 cubic inches would be around 19.9 feet tall.
Recreational maths with 13628160
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