106824420
106,824,420 is an even composite number composed of six prime numbers multiplied together.
106824420 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 106824420:
22 × 34 × 5 × 23 × 47 × 61
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 23 × 47 × 61)See below for interesting mathematical facts about the number 106824420 from the Numbermatics database.
Names of 106824420
- Cardinal: 106824420 can be written as One hundred six million, eight hundred twenty-four thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.0682442 × 108
Factors of 106824420
Divisors of 106824420
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 47 54 60 61 69 81 90 92 94 108 115 122 135 138 141 162 180 183 188 207 230 235 244 270 276 282 305 324 345 366 405 414 423 460 470 540 549 564 610 621 690 705 732 810 828 846 915 940 1035 1081 1098 1220 1242 1269 1380 1403 1410 1620 1647 1692 1830 1863 2070 2115 2162 2196 2484 2538 2745 2806 2820 2867 3105 3243 3294 3660 3726 3807 4140 4209 4230 4324 4941 5076 5405 5490 5612 5734 6210 6345 6486 6588 7015 7452 7614 8235 8418 8460 8601 9315 9729 9882 10810 10980 11468 12420 12627 12690 12972 14030 14335 15228 16215 16470 16836 17202 18630 19035 19458 19764 21045 21620 24705 25254 25380 25803 28060 28670 29187 32430 32940 34404 37260 37881 38070 38916 42090 43005 48645 49410 50508 51606 57340 58374 63135 64860 65941 75762 76140 77409 84180 86010 87561 97290 98820 103212 113643 116748 126270 129015 131882 145935 151524 154818 172020 175122 189405 194580 197823 227286 232227 252540 258030 263764 291870 309636 329705 350244 378810 387045 395646 437805 454572 464454 516060 568215 583740 593469 659410 757620 774090 791292 875610 928908 989115 1136430 1161135 1186938 1318820 1548180 1751220 1780407 1978230 2272860 2322270 2373876 2967345 3560814 3956460 4644540 5341221 5934690 7121628 8902035 10682442 11869380 17804070 21364884 26706105 35608140 53412210 106824420
- Sum of all divisors σ(n): 362976768
- Sum of proper divisors (its aliquot sum) s(n): 256152348
- 106824420 is an abundant number, because the sum of its proper divisors (256152348) is greater than itself. Its abundance is 149327928
Bases of 106824420
- Binary: 1100101111000000010111001002
- Hexadecimal: 0x65E02E4
- Base-36: 1RLM90
Squares and roots of 106824420
- 106824420 squared (1068244202) is 11411456708336400
- 106824420 cubed (1068244203) is 1219022244223145094888000
-
The
square root of 106824420 is 10335.5899686471 -
The
cube root of 106824420 is 474.4861220093
Scales and comparisons
How big is 106824420?- 106,824,420 seconds is equal to 3 years, 20 weeks, 4 days, 9 hours, 27 minutes.
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To count from 1 to 106,824,420 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 106824420 cubic inches would be around 39.5 feet tall.
Recreational maths with 106824420
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