106740480
106,740,480 is an even composite number composed of six prime numbers multiplied together.
106740480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 106740480:
28 × 3 × 5 × 7 × 11 × 192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 19 × 19)See below for interesting mathematical facts about the number 106740480 from the Numbermatics database.
Names of 106740480
- Cardinal: 106740480 can be written as One hundred six million, seven hundred forty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.0674048 × 108
Factors of 106740480
Divisors of 106740480
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 32 33 35 38 40 42 44 48 55 56 57 60 64 66 70 76 77 80 84 88 95 96 105 110 112 114 120 128 132 133 140 152 154 160 165 168 176 190 192 209 210 220 224 228 231 240 256 264 266 280 285 304 308 320 330 336 352 361 380 384 385 399 418 420 440 448 456 462 480 528 532 560 570 608 616 627 640 660 665 672 704 722 760 768 770 798 836 840 880 896 912 924 960 1045 1056 1064 1083 1120 1140 1155 1216 1232 1254 1280 1320 1330 1344 1408 1444 1463 1520 1540 1596 1672 1680 1760 1792 1805 1824 1848 1920 1995 2090 2112 2128 2166 2240 2280 2310 2432 2464 2508 2527 2640 2660 2688 2816 2888 2926 3040 3080 3135 3192 3344 3360 3520 3610 3648 3696 3840 3971 3990 4180 4224 4256 4332 4389 4480 4560 4620 4864 4928 5016 5054 5280 5320 5376 5415 5776 5852 6080 6160 6270 6384 6688 6720 7040 7220 7296 7315 7392 7581 7942 7980 8360 8448 8512 8664 8778 8960 9120 9240 9856 10032 10108 10560 10640 10830 11552 11704 11913 12160 12320 12540 12635 12768 13376 13440 14080 14440 14592 14630 14784 15162 15884 15960 16720 17024 17328 17556 18240 18480 19712 19855 20064 20216 21120 21280 21660 21945 23104 23408 23826 24320 24640 25080 25270 25536 26752 26880 27797 28880 29260 29568 30324 31768 31920 33440 34048 34656 35112 36480 36960 37905 39710 40128 40432 42240 42560 43320 43890 46208 46816 47652 49280 50160 50540 51072 53504 55594 57760 58520 59136 59565 60648 63536 63840 66880 69312 70224 72960 73920 75810 79420 80256 80864 83391 85120 86640 87780 92416 93632 95304 98560 100320 101080 102144 111188 115520 117040 119130 121296 127072 127680 133760 138624 138985 140448 147840 151620 158840 160512 161728 166782 170240 173280 175560 187264 190608 200640 202160 222376 231040 234080 238260 242592 254144 255360 267520 277248 277970 280896 295680 303240 317680 323456 333564 346560 351120 374528 381216 401280 404320 416955 444752 462080 468160 476520 485184 508288 510720 555940 561792 606480 635360 646912 667128 693120 702240 762432 802560 808640 833910 889504 936320 953040 970368 1016576 1111880 1123584 1212960 1270720 1334256 1386240 1404480 1524864 1617280 1667820 1779008 1872640 1906080 1940736 2223760 2425920 2541440 2668512 2808960 3049728 3234560 3335640 3558016 3812160 4447520 4851840 5082880 5337024 5617920 6671280 7116032 7624320 8895040 9703680 10674048 13342560 15248640 17790080 21348096 26685120 35580160 53370240 106740480
- Sum of all divisors σ(n): 448568064
- Sum of proper divisors (its aliquot sum) s(n): 341827584
- 106740480 is an abundant number, because the sum of its proper divisors (341827584) is greater than itself. Its abundance is 235087104
Bases of 106740480
- Binary: 1100101110010111011000000002
- Hexadecimal: 0x65CBB00
- Base-36: 1RJTHC
Squares and roots of 106740480
- 106740480 squared (1067404802) is 11393530070630400
- 106740480 cubed (1067404803) is 1216150868633522798592000
-
The
square root of 106740480 is 10331.5284445235 -
The
cube root of 106740480 is 474.3618096045
Scales and comparisons
How big is 106740480?- 106,740,480 seconds is equal to 3 years, 20 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 106,740,480 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 106740480 cubic inches would be around 39.5 feet tall.
Recreational maths with 106740480
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