106390080
106,390,080 is an even composite number composed of six prime numbers multiplied together.
106390080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 106390080:
26 × 32 × 5 × 17 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 41 × 53)See below for interesting mathematical facts about the number 106390080 from the Numbermatics database.
Names of 106390080
- Cardinal: 106390080 can be written as One hundred six million, three hundred ninety thousand and eighty.
Scientific notation
- Scientific notation: 1.0639008 × 108
Factors of 106390080
Divisors of 106390080
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 41 45 48 51 53 60 64 68 72 80 82 85 90 96 102 106 120 123 136 144 153 159 160 164 170 180 192 204 205 212 240 246 255 265 272 288 306 318 320 328 340 360 369 408 410 424 477 480 492 510 530 544 576 612 615 636 656 680 697 720 738 765 795 816 820 848 901 954 960 984 1020 1060 1088 1224 1230 1272 1312 1360 1394 1440 1476 1530 1590 1632 1640 1696 1802 1845 1908 1968 2040 2091 2120 2173 2385 2448 2460 2544 2624 2703 2720 2788 2880 2952 3060 3180 3264 3280 3392 3485 3604 3690 3816 3936 4080 4182 4240 4346 4505 4770 4896 4920 5088 5406 5440 5576 5904 6120 6273 6360 6519 6560 6970 7208 7380 7632 7872 8109 8160 8364 8480 8692 9010 9540 9792 9840 10176 10455 10812 10865 11152 11808 12240 12546 12720 13038 13120 13515 13940 14416 14760 15264 16218 16320 16728 16960 17384 18020 19080 19557 19680 20910 21624 21730 22304 23616 24480 25092 25440 26076 27030 27880 28832 29520 30528 31365 32436 32595 33456 34768 36040 36941 38160 39114 39360 40545 41820 43248 43460 44608 48960 50184 50880 52152 54060 55760 57664 59040 62730 64872 65190 66912 69536 72080 73882 76320 78228 81090 83640 86496 86920 97785 100368 104304 108120 110823 111520 118080 125460 129744 130380 133824 139072 144160 147764 152640 156456 162180 167280 172992 173840 184705 195570 200736 208608 216240 221646 223040 250920 259488 260760 288320 295528 312912 324360 332469 334560 347680 369410 391140 401472 417216 432480 443292 501840 518976 521520 554115 591056 625824 648720 664938 669120 695360 738820 782280 864960 886584 1003680 1043040 1108230 1182112 1251648 1297440 1329876 1477640 1564560 1662345 1773168 2007360 2086080 2216460 2364224 2594880 2659752 2955280 3129120 3324690 3546336 4432920 5319504 5910560 6258240 6649380 7092672 8865840 10639008 11821120 13298760 17731680 21278016 26597520 35463360 53195040 106390080
- Sum of all divisors σ(n): 404402544
- Sum of proper divisors (its aliquot sum) s(n): 298012464
- 106390080 is an abundant number, because the sum of its proper divisors (298012464) is greater than itself. Its abundance is 191622384
Bases of 106390080
- Binary: 1100101011101100010010000002
- Hexadecimal: 0x6576240
- Base-36: 1RCB40
Squares and roots of 106390080
- 106390080 squared (1063900802) is 11318849122406400
- 106390080 cubed (1063900803) is 1204213263640746688512000
-
The
square root of 106390080 is 10314.5567039985 -
The
cube root of 106390080 is 473.8421735939
Scales and comparisons
How big is 106390080?- 106,390,080 seconds is equal to 3 years, 19 weeks, 6 days, 8 hours, 48 minutes.
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To count from 1 to 106,390,080 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 106390080 cubic inches would be around 39.5 feet tall.
Recreational maths with 106390080
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