6126120
6,126,120 is an even composite number composed of seven prime numbers multiplied together.
6126120 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 6126120:
23 × 32 × 5 × 7 × 11 × 13 × 17
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 17)See below for interesting mathematical facts about the number 6126120 from the Numbermatics database.
Names of 6126120
- Cardinal: 6126120 can be written as Six million, one hundred twenty-six thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.12612 × 106
Factors of 6126120
Divisors of 6126120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 20 21 22 24 26 28 30 33 34 35 36 39 40 42 44 45 51 52 55 56 60 63 65 66 68 70 72 77 78 84 85 88 90 91 99 102 104 105 110 117 119 120 126 130 132 136 140 143 153 154 156 165 168 170 180 182 187 195 198 204 210 220 221 231 234 238 252 255 260 264 273 280 286 306 308 312 315 330 340 357 360 364 374 385 390 396 408 420 429 440 442 455 462 468 476 495 504 510 520 546 561 572 585 595 612 616 630 660 663 680 693 714 715 728 748 765 770 780 792 819 840 858 884 910 924 935 936 952 990 1001 1020 1071 1092 1105 1122 1144 1155 1170 1190 1224 1260 1287 1309 1320 1326 1365 1386 1428 1430 1496 1530 1540 1547 1560 1638 1683 1716 1768 1785 1820 1848 1870 1980 1989 2002 2040 2142 2145 2184 2210 2244 2310 2340 2380 2431 2520 2574 2618 2652 2730 2772 2805 2856 2860 3003 3060 3080 3094 3276 3315 3366 3432 3465 3570 3640 3740 3927 3960 3978 4004 4095 4284 4290 4420 4488 4620 4641 4680 4760 4862 5005 5148 5236 5304 5355 5460 5544 5610 5720 6006 6120 6188 6435 6545 6552 6630 6732 6930 7140 7293 7480 7735 7854 7956 8008 8190 8415 8568 8580 8840 9009 9240 9282 9724 9945 10010 10296 10472 10710 10920 11220 11781 12012 12155 12376 12870 13090 13260 13464 13860 13923 14280 14586 15015 15470 15708 15912 16380 16830 17017 17160 18018 18564 19448 19635 19890 20020 21420 21879 22440 23205 23562 24024 24310 25740 26180 26520 27720 27846 29172 30030 30940 31416 32760 33660 34034 36036 36465 37128 39270 39780 40040 42840 43758 45045 46410 47124 48620 51051 51480 52360 55692 58344 58905 60060 61880 67320 68068 69615 72072 72930 78540 79560 85085 87516 90090 92820 94248 97240 102102 109395 111384 117810 120120 136136 139230 145860 153153 157080 170170 175032 180180 185640 204204 218790 235620 255255 278460 291720 306306 340340 360360 408408 437580 471240 510510 556920 612612 680680 765765 875160 1021020 1225224 1531530 2042040 3063060 6126120
- Sum of all divisors σ(n): 28304640
- Sum of proper divisors (its aliquot sum) s(n): 22178520
- 6126120 is an abundant number, because the sum of its proper divisors (22178520) is greater than itself. Its abundance is 16052400
Bases of 6126120
- Binary: 101110101111010001010002
- Hexadecimal: 0x5D7A28
- Base-36: 3NAY0
Squares and roots of 6126120
- 6126120 squared (61261202) is 37529346254400
- 6126120 cubed (61261203) is 229909278676004928000
-
The
square root of 6126120 is 2475.0999979799 -
The
cube root of 6126120 is 182.9764369913
Scales and comparisons
How big is 6126120?- 6,126,120 seconds is equal to 10 weeks, 21 hours, 42 minutes.
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To count from 1 to 6,126,120 would take you about fifteen 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 6126120 cubic inches would be around 15.2 feet tall.
Recreational maths with 6126120
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