96820416
96,820,416 is an even composite number composed of six prime numbers multiplied together.
96820416 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 96820416:
26 × 32 × 7 × 11 × 37 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 37 × 59)See below for interesting mathematical facts about the number 96820416 from the Numbermatics database.
Names of 96820416
- Cardinal: 96820416 can be written as Ninety-six million, eight hundred twenty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 9.6820416 × 107
Factors of 96820416
Divisors of 96820416
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 37 42 44 48 56 59 63 64 66 72 74 77 84 88 96 99 111 112 118 126 132 144 148 154 168 176 177 192 198 222 224 231 236 252 259 264 288 296 308 333 336 352 354 396 407 413 444 448 462 472 504 518 528 531 576 592 616 649 666 672 693 704 708 777 792 814 826 888 924 944 1008 1036 1056 1062 1184 1221 1232 1239 1298 1332 1344 1386 1416 1554 1584 1628 1652 1776 1848 1888 1947 2016 2072 2112 2124 2183 2331 2368 2442 2464 2478 2596 2664 2772 2832 2849 3108 3168 3256 3304 3552 3663 3696 3717 3776 3894 4032 4144 4248 4366 4543 4662 4884 4928 4956 5192 5328 5544 5664 5698 5841 6216 6336 6512 6549 6608 7104 7326 7392 7434 7788 8288 8496 8547 8732 9086 9324 9768 9912 10384 10656 11088 11328 11396 11682 12432 13024 13098 13216 13629 14652 14784 14868 15281 15576 16576 16992 17094 17464 18172 18648 19536 19647 19824 20768 21312 22176 22792 23364 24013 24864 25641 26048 26196 26432 27258 29304 29736 30562 31152 33984 34188 34928 36344 37296 39072 39294 39648 40887 41536 44352 45584 45843 46728 48026 49728 51282 52392 54516 58608 59472 61124 62304 68376 69856 72039 72688 74592 78144 78588 79296 81774 91168 91686 93456 96052 102564 104784 109032 117216 118944 122248 124608 136752 137529 139712 144078 145376 149184 157176 163548 168091 182336 183372 186912 192104 205128 209568 216117 218064 234432 237888 244496 273504 275058 288156 290752 314352 327096 336182 366744 373824 384208 410256 419136 432234 436128 488992 504273 547008 550116 576312 628704 654192 672364 733488 768416 820512 864468 872256 977984 1008546 1100232 1152624 1257408 1308384 1344728 1466976 1512819 1536832 1641024 1728936 2017092 2200464 2305248 2616768 2689456 2933952 3025638 3457872 4034184 4400928 4610496 5378912 6051276 6915744 8068368 8801856 10757824 12102552 13831488 16136736 24205104 32273472 48410208 96820416
- Sum of all divisors σ(n): 361370880
- Sum of proper divisors (its aliquot sum) s(n): 264550464
- 96820416 is an abundant number, because the sum of its proper divisors (264550464) is greater than itself. Its abundance is 167730048
Bases of 96820416
- Binary: 1011100010101011100110000002
- Hexadecimal: 0x5C55CC0
- Base-36: 1LN740
Squares and roots of 96820416
- 96820416 squared (968204162) is 9374192954413056
- 96820416 cubed (968204163) is 907613261510541117751296
-
The
square root of 96820416 is 9839.7365818397 -
The
cube root of 96820416 is 459.1863625875
Scales and comparisons
How big is 96820416?- 96,820,416 seconds is equal to 3 years, 4 weeks, 14 hours, 33 minutes, 36 seconds.
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To count from 1 to 96,820,416 would take you about four 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 96820416 cubic inches would be around 38.3 feet tall.
Recreational maths with 96820416
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