106317120
106,317,120 is an even composite number composed of six prime numbers multiplied together.
106317120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 106317120:
26 × 3 × 5 × 7 × 13 × 1217
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 1217)See below for interesting mathematical facts about the number 106317120 from the Numbermatics database.
Names of 106317120
- Cardinal: 106317120 can be written as One hundred six million, three hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0631712 × 108
Factors of 106317120
Divisors of 106317120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 104 105 112 120 130 140 156 160 168 182 192 195 208 210 224 240 260 273 280 312 320 336 364 390 416 420 448 455 480 520 546 560 624 672 728 780 832 840 910 960 1040 1092 1120 1217 1248 1344 1365 1456 1560 1680 1820 2080 2184 2240 2434 2496 2730 2912 3120 3360 3640 3651 4160 4368 4868 5460 5824 6085 6240 6720 7280 7302 8519 8736 9736 10920 12170 12480 14560 14604 15821 17038 17472 18255 19472 21840 24340 25557 29120 29208 31642 34076 36510 38944 42595 43680 47463 48680 51114 58416 63284 68152 73020 77888 79105 85190 87360 94926 97360 102228 110747 116832 126568 127785 136304 146040 158210 170380 189852 194720 204456 221494 233664 237315 253136 255570 272608 292080 316420 332241 340760 379704 389440 408912 442988 474630 506272 511140 545216 553735 584160 632840 664482 681520 759408 817824 885976 949260 1012544 1022280 1107470 1168320 1265680 1328964 1363040 1518816 1635648 1661205 1771952 1898520 2044560 2214940 2531360 2657928 2726080 3037632 3322410 3543904 3797040 4089120 4429880 5062720 5315856 6644820 7087808 7594080 8178240 8859760 10631712 13289640 15188160 17719520 21263424 26579280 35439040 53158560 106317120
- Sum of all divisors σ(n): 415795968
- Sum of proper divisors (its aliquot sum) s(n): 309478848
- 106317120 is an abundant number, because the sum of its proper divisors (309478848) is greater than itself. Its abundance is 203161728
Bases of 106317120
- Binary: 1100101011001000101010000002
- Hexadecimal: 0x6564540
- Base-36: 1RAQTC
Squares and roots of 106317120
- 106317120 squared (1063171202) is 11303330005094400
- 106317120 cubed (1063171203) is 1201737492551221936128000
-
The
square root of 106317120 is 10311.0193482507 -
The
cube root of 106317120 is 473.7338319427
Scales and comparisons
How big is 106317120?- 106,317,120 seconds is equal to 3 years, 19 weeks, 5 days, 12 hours, 32 minutes.
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To count from 1 to 106,317,120 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 106317120 cubic inches would be around 39.5 feet tall.
Recreational maths with 106317120
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The information we have on file for 106317120 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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