38968020
38,968,020 is an even composite number composed of six prime numbers multiplied together.
38968020 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 38968020:
22 × 33 × 5 × 7 × 132 × 61
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 61)See below for interesting mathematical facts about the number 38968020 from the Numbermatics database.
Names of 38968020
- Cardinal: 38968020 can be written as Thirty-eight million, nine hundred sixty-eight thousand and twenty.
Scientific notation
- Scientific notation: 3.896802 × 107
Factors of 38968020
Divisors of 38968020
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 27 28 30 35 36 39 42 45 52 54 60 61 63 65 70 78 84 90 91 105 108 117 122 126 130 135 140 156 169 180 182 183 189 195 210 234 244 252 260 270 273 305 315 338 351 364 366 378 390 420 427 455 468 507 540 546 549 585 610 630 676 702 732 756 780 793 819 845 854 910 915 945 1014 1092 1098 1170 1183 1220 1260 1281 1365 1404 1521 1586 1638 1647 1690 1708 1755 1820 1830 1890 2028 2135 2196 2340 2366 2379 2457 2535 2562 2730 2745 3042 3172 3276 3294 3380 3510 3549 3660 3780 3843 3965 4095 4270 4563 4732 4758 4914 5070 5124 5460 5490 5551 5915 6084 6405 6588 7020 7098 7137 7605 7686 7930 8190 8235 8540 9126 9516 9828 10140 10309 10647 10980 11102 11529 11830 11895 12285 12810 14196 14274 15210 15372 15860 16380 16470 16653 17745 18252 19215 20618 21294 21411 22204 22815 23058 23660 23790 24570 25620 27755 28548 30420 30927 31941 32940 33306 35490 35685 38430 41236 42588 42822 45630 46116 47580 49140 49959 51545 53235 55510 57645 61854 63882 66612 70980 71370 72163 76860 83265 85644 91260 92781 99918 103090 106470 107055 111020 115290 123708 127764 142740 144326 149877 154635 159705 166530 185562 199836 206180 212940 214110 216489 230580 249795 278343 288652 299754 309270 319410 333060 360815 371124 428220 432978 463905 499590 556686 599508 618540 638820 649467 721630 749385 865956 927810 999180 1082445 1113372 1298934 1391715 1443260 1498770 1855620 1948401 2164890 2597868 2783430 2997540 3247335 3896802 4329780 5566860 6494670 7793604 9742005 12989340 19484010 38968020
- Sum of all divisors σ(n): 152490240
- Sum of proper divisors (its aliquot sum) s(n): 113522220
- 38968020 is an abundant number, because the sum of its proper divisors (113522220) is greater than itself. Its abundance is 74554200
Bases of 38968020
- Binary: 100101001010011010110101002
- Hexadecimal: 0x2529AD4
- Base-36: N77X0
Squares and roots of 38968020
- 38968020 squared (389680202) is 1518506582720400
- 38968020 cubed (389680203) is 59173194885580201608000
-
The
square root of 38968020 is 6242.4370241117 -
The
cube root of 38968020 is 339.0284258409
Scales and comparisons
How big is 38968020?- 38,968,020 seconds is equal to 1 year, 12 weeks, 3 days, 27 minutes.
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To count from 1 to 38,968,020 would take you about forty-four 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 38968020 cubic inches would be around 28.3 feet tall.
Recreational maths with 38968020
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