132769728
132,769,728 is an even composite number composed of six prime numbers multiplied together.
132769728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 132769728:
26 × 32 × 7 × 13 × 17 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 149)See below for interesting mathematical facts about the number 132769728 from the Numbermatics database.
Names of 132769728
- Cardinal: 132769728 can be written as One hundred thirty-two million, seven hundred sixty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.32769728 × 108
Factors of 132769728
Divisors of 132769728
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 136 144 149 153 156 168 182 192 204 208 221 224 234 238 252 272 273 288 298 306 312 336 357 364 408 416 442 447 448 468 476 504 544 546 576 596 612 624 663 672 714 728 816 819 832 884 894 936 952 1008 1043 1071 1088 1092 1192 1224 1248 1326 1341 1344 1428 1456 1547 1632 1638 1768 1788 1872 1904 1937 1989 2016 2086 2142 2184 2384 2448 2496 2533 2652 2682 2856 2912 3094 3129 3264 3276 3536 3576 3744 3808 3874 3978 4032 4172 4284 4368 4641 4768 4896 5066 5304 5364 5712 5811 5824 6188 6258 6552 7072 7152 7488 7599 7616 7748 7956 8344 8568 8736 9282 9387 9536 9792 10132 10608 10728 11424 11622 12376 12516 13104 13559 13923 14144 14304 15198 15496 15912 16688 17136 17433 17472 17731 18564 18774 20264 21216 21456 22797 22848 23244 24752 25032 26208 27118 27846 28608 30396 30992 31824 32929 33376 34272 34866 35462 37128 37548 40528 40677 42432 42912 45594 46488 49504 50064 52416 53193 54236 55692 60792 61984 63648 65858 66752 68544 69732 70924 74256 75096 81056 81354 85824 91188 92976 98787 99008 100128 106386 108472 111384 121584 122031 123968 127296 131716 139464 141848 148512 150192 159579 162112 162708 182376 185952 197574 200256 212772 216944 222768 230503 243168 244062 263432 278928 283696 296361 297024 300384 319158 325416 364752 371904 395148 425544 433888 445536 461006 486336 488124 526864 557856 567392 592722 600768 638316 650832 691509 729504 790296 851088 867776 891072 922012 976248 1053728 1115712 1134784 1185444 1276632 1301664 1383018 1459008 1580592 1702176 1844024 1952496 2074527 2107456 2370888 2553264 2603328 2766036 3161184 3404352 3688048 3904992 4149054 4741776 5106528 5532072 6322368 7376096 7809984 8298108 9483552 10213056 11064144 14752192 16596216 18967104 22128288 33192432 44256576 66384864 132769728
- Sum of all divisors σ(n): 499262400
- Sum of proper divisors (its aliquot sum) s(n): 366492672
- 132769728 is an abundant number, because the sum of its proper divisors (366492672) is greater than itself. Its abundance is 233722944
Bases of 132769728
- Binary: 1111110100111100111110000002
- Hexadecimal: 0x7E9E7C0
- Base-36: 271PS0
Squares and roots of 132769728
- 132769728 squared (1327697282) is 17627800673193984
- 132769728 cubed (1327697283) is 2340438300618182146916352
-
The
square root of 132769728 is 11522.5747122765 -
The
cube root of 132769728 is 510.1521114897
Scales and comparisons
How big is 132769728?- 132,769,728 seconds is equal to 4 years, 11 weeks, 3 days, 16 hours, 28 minutes, 48 seconds.
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To count from 1 to 132,769,728 would take you about six years!
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 132769728 cubic inches would be around 42.5 feet tall.
Recreational maths with 132769728
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