10053120
10,053,120 is an even composite number composed of six prime numbers multiplied together.
10053120 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 10053120:
29 × 3 × 5 × 7 × 11 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 17)See below for interesting mathematical facts about the number 10053120 from the Numbermatics database.
Names of 10053120
- Cardinal: 10053120 can be written as Ten million, fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.005312 × 107
Factors of 10053120
Divisors of 10053120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 32 33 34 35 40 42 44 48 51 55 56 60 64 66 68 70 77 80 84 85 88 96 102 105 110 112 119 120 128 132 136 140 154 160 165 168 170 176 187 192 204 210 220 224 231 238 240 255 256 264 272 280 308 320 330 336 340 352 357 374 384 385 408 420 440 448 462 476 480 510 512 528 544 560 561 595 616 640 660 672 680 704 714 748 768 770 816 840 880 896 924 935 952 960 1020 1056 1088 1120 1122 1155 1190 1232 1280 1309 1320 1344 1360 1408 1428 1496 1536 1540 1632 1680 1760 1785 1792 1848 1870 1904 1920 2040 2112 2176 2240 2244 2310 2380 2464 2560 2618 2640 2688 2720 2805 2816 2856 2992 3080 3264 3360 3520 3570 3584 3696 3740 3808 3840 3927 4080 4224 4352 4480 4488 4620 4760 4928 5236 5280 5376 5440 5610 5632 5712 5984 6160 6528 6545 6720 7040 7140 7392 7480 7616 7680 7854 8160 8448 8704 8960 8976 9240 9520 9856 10472 10560 10752 10880 11220 11424 11968 12320 13056 13090 13440 14080 14280 14784 14960 15232 15708 16320 16896 17920 17952 18480 19040 19635 19712 20944 21120 21760 22440 22848 23936 24640 26112 26180 26880 28160 28560 29568 29920 30464 31416 32640 35904 36960 38080 39270 39424 41888 42240 43520 44880 45696 47872 49280 52360 53760 57120 59136 59840 60928 62832 65280 71808 73920 76160 78540 83776 84480 89760 91392 95744 98560 104720 114240 118272 119680 125664 130560 143616 147840 152320 157080 167552 179520 182784 197120 209440 228480 239360 251328 287232 295680 304640 314160 335104 359040 418880 456960 478720 502656 591360 628320 670208 718080 837760 913920 1005312 1256640 1436160 1675520 2010624 2513280 3351040 5026560 10053120
- Sum of all divisors σ(n): 42425856
- Sum of proper divisors (its aliquot sum) s(n): 32372736
- 10053120 is an abundant number, because the sum of its proper divisors (32372736) is greater than itself. Its abundance is 22319616
Bases of 10053120
- Binary: 1001100101100110000000002
- Hexadecimal: 0x996600
- Base-36: 5ZH1C
Squares and roots of 10053120
- 10053120 squared (100531202) is 101065221734400
- 10053120 cubed (100531203) is 1016020801922531328000
-
The
square root of 10053120 is 3170.6655452759 -
The
cube root of 10053120 is 215.8242740871
Scales and comparisons
How big is 10053120?- 10,053,120 seconds is equal to 16 weeks, 4 days, 8 hours, 32 minutes.
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To count from 1 to 10,053,120 would take you about twenty-four 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 10053120 cubic inches would be around 18 feet tall.
Recreational maths with 10053120
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