132828696
132,828,696 is an even composite number composed of seven prime numbers multiplied together.
132828696 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132828696:
23 × 32 × 7 × 11 × 13 × 19 × 97
(2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 19 × 97)See below for interesting mathematical facts about the number 132828696 from the Numbermatics database.
Names of 132828696
- Cardinal: 132828696 can be written as One hundred thirty-two million, eight hundred twenty-eight thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.32828696 × 108
Factors of 132828696
Divisors of 132828696
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 18 19 21 22 24 26 28 33 36 38 39 42 44 52 56 57 63 66 72 76 77 78 84 88 91 97 99 104 114 117 126 132 133 143 152 154 156 168 171 182 194 198 209 228 231 234 247 252 264 266 273 286 291 308 312 342 364 388 396 399 418 429 456 462 468 494 504 532 546 572 582 616 627 679 684 693 728 741 776 792 798 819 836 858 873 924 936 988 1001 1064 1067 1092 1144 1164 1197 1254 1261 1287 1358 1368 1386 1463 1482 1596 1638 1672 1716 1729 1746 1843 1848 1881 1976 2002 2037 2134 2184 2223 2328 2394 2508 2522 2574 2716 2717 2772 2926 2964 3003 3192 3201 3276 3432 3458 3492 3686 3762 3783 4004 4074 4268 4389 4446 4788 5016 5044 5148 5187 5432 5434 5529 5544 5852 5928 6006 6111 6402 6552 6916 6984 7372 7469 7524 7566 8008 8148 8151 8536 8778 8827 8892 9009 9576 9603 10088 10296 10374 10868 11058 11349 11704 12012 12222 12804 12901 13167 13832 13871 14744 14938 15048 15132 15561 16296 16302 16587 17556 17654 17784 18018 19019 19206 20273 20748 21736 22116 22407 22698 23959 24024 24444 24453 25608 25802 26334 26481 27742 29876 30264 31122 32604 33174 35112 35308 36036 38038 38412 38703 40546 41496 41613 44232 44814 45396 47918 48888 48906 51604 52668 52962 55484 57057 59752 60819 62244 65208 66348 67221 70616 71877 72072 76076 76824 77406 79443 81092 83226 89628 90792 95836 97097 97812 103208 105336 105924 110968 114114 116109 121638 124488 124839 132696 134442 141911 143754 152152 154812 158886 162184 166452 167713 171171 179256 182457 191672 194194 195624 211848 215631 228228 232218 243276 249678 263549 268884 283822 287508 291291 309624 317772 332904 335426 342342 364914 388388 425733 431262 456456 464436 486552 499356 503139 527098 537768 567644 575016 582582 635544 670852 684684 729828 776776 790647 851466 862524 873873 928872 998712 1006278 1054196 1135288 1165164 1277199 1341704 1369368 1459656 1509417 1581294 1702932 1725048 1747746 1844843 2012556 2108392 2330328 2371941 2554398 3018834 3162588 3405864 3495492 3689686 4025112 4743882 5108796 5534529 6037668 6325176 6990984 7379372 9487764 10217592 11069058 12075336 14758744 16603587 18975528 22138116 33207174 44276232 66414348 132828696
- Sum of all divisors σ(n): 513676800
- Sum of proper divisors (its aliquot sum) s(n): 380848104
- 132828696 is an abundant number, because the sum of its proper divisors (380848104) is greater than itself. Its abundance is 248019408
Bases of 132828696
- Binary: 1111110101011001110000110002
- Hexadecimal: 0x7EACE18
- Base-36: 272ZA0
Squares and roots of 132828696
- 132828696 squared (1328286962) is 17643462481060416
- 132828696 cubed (1328286963) is 2343558114284179754497536
-
The
square root of 132828696 is 11525.1332313339 -
The
cube root of 132828696 is 510.2276261865
Scales and comparisons
How big is 132828696?- 132,828,696 seconds is equal to 4 years, 11 weeks, 4 days, 8 hours, 51 minutes, 36 seconds.
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To count from 1 to 132,828,696 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 132828696 cubic inches would be around 42.5 feet tall.
Recreational maths with 132828696
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