106478064
106,478,064 is an even composite number composed of five prime numbers multiplied together.
106478064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred divisors.
Prime factorization of 106478064:
24 × 34 × 7 × 112 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 97)See below for interesting mathematical facts about the number 106478064 from the Numbermatics database.
Names of 106478064
- Cardinal: 106478064 can be written as One hundred six million, four hundred seventy-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.06478064 × 108
Factors of 106478064
Divisors of 106478064
- Number of divisors d(n): 300
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 81 84 88 97 99 108 112 121 126 132 144 154 162 168 176 189 194 198 216 231 242 252 264 291 297 308 324 336 363 378 388 396 432 462 484 504 528 567 582 594 616 648 679 693 726 756 776 792 847 873 891 924 968 1008 1067 1089 1134 1164 1188 1232 1296 1358 1386 1452 1512 1552 1584 1694 1746 1782 1848 1936 2037 2079 2134 2178 2268 2328 2376 2541 2619 2716 2772 2904 3024 3201 3267 3388 3492 3564 3696 4074 4158 4268 4356 4536 4656 4752 5082 5238 5432 5544 5808 6111 6237 6402 6534 6776 6984 7128 7469 7623 7857 8148 8316 8536 8712 9072 9603 9801 10164 10476 10864 11088 11737 12222 12474 12804 13068 13552 13968 14256 14938 15246 15714 16296 16632 17072 17424 18333 19206 19602 20328 20952 22407 22869 23474 24444 24948 25608 26136 28809 29876 30492 31428 32592 33264 35211 36666 38412 39204 40656 41904 44814 45738 46948 48888 49896 51216 52272 54999 57618 59752 60984 62856 67221 68607 70422 73332 76824 78408 82159 86427 89628 91476 93896 97776 99792 105633 109998 115236 119504 121968 125712 134442 137214 140844 146664 153648 156816 164318 172854 179256 182952 187792 201663 211266 219996 230472 246477 268884 274428 281688 293328 316899 328636 345708 358512 365904 403326 422532 439992 460944 492954 537768 548856 563376 604989 633798 657272 691416 739431 806652 845064 879984 950697 985908 1075536 1097712 1209978 1267596 1314544 1382832 1478862 1613304 1690128 1901394 1971816 2218293 2419956 2535192 2957724 3226608 3802788 3943632 4436586 4839912 5070384 5915448 6654879 7605576 8873172 9679824 11830896 13309758 15211152 17746344 26619516 35492688 53239032 106478064
- Sum of all divisors σ(n): 391124272
- Sum of proper divisors (its aliquot sum) s(n): 284646208
- 106478064 is an abundant number, because the sum of its proper divisors (284646208) is greater than itself. Its abundance is 178168144
Bases of 106478064
- Binary: 1100101100010111001111100002
- Hexadecimal: 0x658B9F0
- Base-36: 1RE700
Squares and roots of 106478064
- 106478064 squared (1064780642) is 11337578113188096
- 106478064 cubed (1064780643) is 1207203367941041329926144
-
The
square root of 106478064 is 10318.8208628699 -
The
cube root of 106478064 is 473.9727592101
Scales and comparisons
How big is 106478064?- 106,478,064 seconds is equal to 3 years, 20 weeks, 9 hours, 14 minutes, 24 seconds.
-
To count from 1 to 106,478,064 would take you about five 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 106478064 cubic inches would be around 39.5 feet tall.
Recreational maths with 106478064
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