106730624
106,730,624 is an even composite number composed of five prime numbers multiplied together.
106730624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 106730624:
27 × 73 × 11 × 13 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 13 × 17)See below for interesting mathematical facts about the number 106730624 from the Numbermatics database.
Names of 106730624
- Cardinal: 106730624 can be written as One hundred six million, seven hundred thirty thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.06730624 × 108
Factors of 106730624
Divisors of 106730624
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 49 52 56 64 68 77 88 91 98 104 112 119 128 136 143 154 176 182 187 196 208 221 224 238 272 286 308 343 352 364 374 392 416 442 448 476 539 544 572 616 637 686 704 728 748 784 832 833 884 896 952 1001 1078 1088 1144 1232 1274 1309 1372 1408 1456 1496 1547 1568 1664 1666 1768 1904 2002 2156 2176 2288 2431 2464 2548 2618 2744 2912 2992 3094 3136 3332 3536 3773 3808 4004 4312 4459 4576 4862 4928 5096 5236 5488 5824 5831 5984 6188 6272 6664 7007 7072 7546 7616 8008 8624 8918 9152 9163 9724 9856 10192 10472 10829 10976 11648 11662 11968 12376 13328 14014 14144 15092 15232 16016 17017 17248 17836 18304 18326 19448 20384 20944 21658 21952 23324 23936 24752 26656 28028 28288 30184 32032 34034 34496 35672 36652 38896 40768 41888 43316 43904 46648 49049 49504 53312 56056 60368 64064 64141 68068 68992 71344 73304 75803 77792 81536 83776 86632 93296 98098 99008 106624 112112 119119 120736 128128 128282 136136 142688 146608 151606 155584 167552 173264 186592 196196 198016 224224 238238 241472 256564 272272 285376 293216 303212 311168 346528 373184 392392 448448 476476 482944 513128 544544 570752 586432 606424 693056 746368 784784 833833 896896 952952 1026256 1089088 1172864 1212848 1386112 1569568 1667666 1905904 2052512 2178176 2425696 3139136 3335332 3811808 4105024 4851392 6278272 6670664 7623616 8210048 9702784 13341328 15247232 26682656 53365312 106730624
- Sum of all divisors σ(n): 308448000
- Sum of proper divisors (its aliquot sum) s(n): 201717376
- 106730624 is an abundant number, because the sum of its proper divisors (201717376) is greater than itself. Its abundance is 94986752
Bases of 106730624
- Binary: 1100101110010010100100000002
- Hexadecimal: 0x65C9480
- Base-36: 1RJLVK
Squares and roots of 106730624
- 106730624 squared (1067306242) is 11391426099429376
- 106730624 cubed (1067306243) is 1215814015841983344410624
-
The
square root of 106730624 is 10331.0514469729 -
The
cube root of 106730624 is 474.3472089147
Scales and comparisons
How big is 106730624?- 106,730,624 seconds is equal to 3 years, 20 weeks, 3 days, 7 hours, 23 minutes, 44 seconds.
-
To count from 1 to 106,730,624 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 106730624 cubic inches would be around 39.5 feet tall.
Recreational maths with 106730624
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The information we have on file for 106730624 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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