10085040
10,085,040 is an even composite number composed of six prime numbers multiplied together.
10085040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 10085040:
24 × 33 × 5 × 7 × 23 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 29)See below for interesting mathematical facts about the number 10085040 from the Numbermatics database.
Names of 10085040
- Cardinal: 10085040 can be written as Ten million, eighty-five thousand and forty.
Scientific notation
- Scientific notation: 1.008504 × 107
Factors of 10085040
Divisors of 10085040
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 29 30 35 36 40 42 45 46 48 54 56 58 60 63 69 70 72 80 84 87 90 92 105 108 112 115 116 120 126 135 138 140 144 145 161 168 174 180 184 189 203 207 210 216 230 232 240 252 261 270 276 280 290 315 322 336 345 348 360 368 378 406 414 420 432 435 460 464 483 504 522 540 552 560 580 609 621 630 644 667 690 696 720 756 783 805 812 828 840 870 920 945 966 1008 1015 1035 1044 1080 1104 1160 1218 1242 1260 1288 1305 1334 1380 1392 1449 1512 1566 1610 1624 1656 1680 1740 1827 1840 1890 1932 2001 2030 2070 2088 2160 2320 2415 2436 2484 2520 2576 2610 2668 2760 2898 3024 3045 3105 3132 3220 3248 3312 3335 3480 3654 3780 3864 3915 4002 4060 4140 4176 4347 4669 4830 4872 4968 5040 5220 5336 5481 5520 5796 6003 6090 6210 6264 6440 6670 6960 7245 7308 7560 7728 7830 8004 8120 8280 8694 9135 9338 9660 9744 9936 10005 10440 10672 10962 11592 12006 12180 12420 12528 12880 13340 14007 14490 14616 15120 15660 16008 16240 16560 17388 18009 18270 18676 19320 20010 20880 21735 21924 23184 23345 24012 24360 24840 26680 27405 28014 28980 29232 30015 31320 32016 34776 36018 36540 37352 38640 40020 42021 43470 43848 46690 48024 48720 49680 53360 54810 56028 57960 60030 62640 69552 70035 72036 73080 74704 80040 84042 86940 87696 90045 93380 96048 109620 112056 115920 120060 126063 140070 144072 146160 160080 168084 173880 180090 186760 210105 219240 224112 240120 252126 280140 288144 336168 347760 360180 373520 420210 438480 480240 504252 560280 630315 672336 720360 840420 1008504 1120560 1260630 1440720 1680840 2017008 2521260 3361680 5042520 10085040
- Sum of all divisors σ(n): 42854400
- Sum of proper divisors (its aliquot sum) s(n): 32769360
- 10085040 is an abundant number, because the sum of its proper divisors (32769360) is greater than itself. Its abundance is 22684320
Bases of 10085040
- Binary: 1001100111100010101100002
- Hexadecimal: 0x99E2B0
- Base-36: 605O0
Squares and roots of 10085040
- 10085040 squared (100850402) is 101708031801600
- 10085040 cubed (100850403) is 1025729569040408064000
-
The
square root of 10085040 is 3175.6951994799 -
The
cube root of 10085040 is 216.0524563957
Scales and comparisons
How big is 10085040?- 10,085,040 seconds is equal to 16 weeks, 4 days, 17 hours, 24 minutes.
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To count from 1 to 10,085,040 would take you about twenty-five weeks!
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 10085040 cubic inches would be around 18 feet tall.
Recreational maths with 10085040
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