104889120
104,889,120 is an even composite number composed of seven prime numbers multiplied together.
104889120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 104889120:
25 × 3 × 5 × 7 × 19 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 31 × 53)See below for interesting mathematical facts about the number 104889120 from the Numbermatics database.
Names of 104889120
- Cardinal: 104889120 can be written as One hundred four million, eight hundred eighty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0488912 × 108
Factors of 104889120
Divisors of 104889120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 31 32 35 38 40 42 48 53 56 57 60 62 70 76 80 84 93 95 96 105 106 112 114 120 124 133 140 152 155 159 160 168 186 190 210 212 217 224 228 240 248 265 266 280 285 304 310 318 336 371 372 380 399 420 424 434 456 465 480 496 530 532 560 570 589 608 620 636 651 665 672 742 744 760 795 798 840 848 868 912 930 992 1007 1060 1064 1085 1113 1120 1140 1178 1240 1272 1302 1330 1484 1488 1520 1590 1596 1643 1680 1696 1736 1767 1824 1855 1860 1995 2014 2120 2128 2170 2226 2280 2356 2480 2544 2604 2660 2945 2968 2976 3021 3040 3180 3192 3255 3286 3360 3472 3534 3710 3720 3990 4028 4123 4240 4256 4340 4452 4560 4712 4929 4960 5035 5088 5208 5320 5565 5890 5936 6042 6360 6384 6510 6572 6944 7049 7068 7420 7440 7980 8056 8215 8246 8480 8680 8835 8904 9120 9424 9858 10070 10416 10640 11130 11501 11780 11872 12084 12369 12720 12768 13020 13144 14098 14136 14840 14880 15105 15960 16112 16430 16492 17360 17670 17808 18848 19716 20140 20615 20832 21147 21280 22260 23002 23560 24168 24645 24738 25440 26040 26288 28196 28272 29680 30210 31217 31920 32224 32860 32984 34503 34720 35245 35340 35616 39432 40280 41230 42294 44520 46004 47120 48336 49290 49476 52080 52576 56392 56544 57505 59360 60420 61845 62434 63840 65720 65968 69006 70490 70680 78864 80560 82460 84588 89040 92008 93651 94240 96672 98580 98952 104160 105735 112784 115010 120840 123690 124868 131440 131936 138012 140980 141360 156085 157728 161120 164920 169176 172515 178080 184016 187302 197160 197904 211470 218519 225568 230020 241680 247380 249736 262880 276024 281960 282720 312170 329840 338352 345030 368032 374604 394320 395808 422940 437038 460040 468255 483360 494760 499472 552048 563920 624340 655557 659680 676704 690060 749208 788640 845880 874076 920080 936510 989520 998944 1092595 1104096 1127840 1248680 1311114 1380120 1498416 1691760 1748152 1840160 1873020 1979040 2185190 2497360 2622228 2760240 2996832 3277785 3383520 3496304 3746040 4370380 4994720 5244456 5520480 6555570 6992608 7492080 8740760 10488912 13111140 14984160 17481520 20977824 26222280 34963040 52444560 104889120
- Sum of all divisors σ(n): 418037760
- Sum of proper divisors (its aliquot sum) s(n): 313148640
- 104889120 is an abundant number, because the sum of its proper divisors (313148640) is greater than itself. Its abundance is 208259520
Bases of 104889120
- Binary: 1100100000001111011001000002
- Hexadecimal: 0x6407B20
- Base-36: 1QG4YO
Squares and roots of 104889120
- 104889120 squared (1048891202) is 11001727494374400
- 104889120 cubed (1048891203) is 1153961515364735766528000
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The
square root of 104889120 is 10241.5389468575 -
The
cube root of 104889120 is 471.6032767153
Scales and comparisons
How big is 104889120?- 104,889,120 seconds is equal to 3 years, 17 weeks, 2 days, 23 hours, 52 minutes.
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To count from 1 to 104,889,120 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 104889120 cubic inches would be around 39.3 feet tall.
Recreational maths with 104889120
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