106428840
106,428,840 is an even composite number composed of seven prime numbers multiplied together.
106428840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 106428840:
23 × 3 × 5 × 7 × 17 × 29 × 257
(2 × 2 × 2 × 3 × 5 × 7 × 17 × 29 × 257)See below for interesting mathematical facts about the number 106428840 from the Numbermatics database.
Names of 106428840
- Cardinal: 106428840 can be written as One hundred six million, four hundred twenty-eight thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.0642884 × 108
Factors of 106428840
Divisors of 106428840
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 29 30 34 35 40 42 51 56 58 60 68 70 84 85 87 102 105 116 119 120 136 140 145 168 170 174 203 204 210 232 238 255 257 280 290 340 348 357 406 408 420 435 476 493 510 514 580 595 609 680 696 714 771 812 840 870 952 986 1015 1020 1028 1160 1190 1218 1285 1428 1479 1542 1624 1740 1785 1799 1972 2030 2040 2056 2380 2436 2465 2570 2856 2958 3045 3084 3451 3480 3570 3598 3855 3944 4060 4369 4760 4872 4930 5140 5397 5916 6090 6168 6902 7140 7196 7395 7453 7710 8120 8738 8995 9860 10280 10353 10794 11832 12180 13107 13804 14280 14392 14790 14906 15420 17255 17476 17990 19720 20706 21588 21845 22359 24360 26214 26985 27608 29580 29812 30583 30840 34510 34952 35980 37265 41412 43176 43690 44718 51765 52171 52428 53970 59160 59624 61166 65535 69020 71960 74530 82824 87380 89436 91749 103530 104342 104856 107940 111795 122332 126701 131070 138040 149060 152915 156513 174760 178872 183498 207060 208684 215880 223590 244664 253402 260855 262140 298120 305830 313026 366996 380103 414120 417368 447180 458745 506804 521710 524280 611660 626052 633505 733992 760206 782565 886907 894360 917490 1013608 1043420 1223320 1252104 1267010 1520412 1565130 1773814 1834980 1900515 2086840 2534020 2660721 3040824 3130260 3547628 3669960 3801030 4434535 5068040 5321442 6260520 7095256 7602060 8869070 10642884 13303605 15204120 17738140 21285768 26607210 35476280 53214420 106428840
- Sum of all divisors σ(n): 401241600
- Sum of proper divisors (its aliquot sum) s(n): 294812760
- 106428840 is an abundant number, because the sum of its proper divisors (294812760) is greater than itself. Its abundance is 188383920
Bases of 106428840
- Binary: 1100101011111111001101010002
- Hexadecimal: 0x657F9A8
- Base-36: 1RD50O
Squares and roots of 106428840
- 106428840 squared (1064288402) is 11327097983745600
- 106428840 cubed (1064288403) is 1205529898976383063104000
-
The
square root of 106428840 is 10316.4354309035 -
The
cube root of 106428840 is 473.8997099503
Scales and comparisons
How big is 106428840?- 106,428,840 seconds is equal to 3 years, 19 weeks, 6 days, 19 hours, 34 minutes.
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To count from 1 to 106,428,840 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 106428840 cubic inches would be around 39.5 feet tall.
Recreational maths with 106428840
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