390106080
390,106,080 is an even composite number composed of six prime numbers multiplied together.
390106080 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 390106080:
25 × 32 × 5 × 7 × 132 × 229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 13 × 229)See below for interesting mathematical facts about the number 390106080 from the Numbermatics database.
Names of 390106080
- Cardinal: 390106080 can be written as Three hundred ninety million, one hundred six thousand and eighty.
Scientific notation
- Scientific notation: 3.9010608 × 108
Factors of 390106080
Divisors of 390106080
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 169 180 182 195 208 210 224 229 234 240 252 260 273 280 288 312 315 336 338 360 364 390 416 420 455 458 468 480 504 507 520 546 560 585 624 630 672 676 687 720 728 780 819 840 845 910 916 936 1008 1014 1040 1092 1120 1145 1170 1183 1248 1260 1352 1365 1374 1440 1456 1521 1560 1603 1638 1680 1690 1820 1832 1872 2016 2028 2061 2080 2184 2290 2340 2366 2520 2535 2704 2730 2748 2912 2977 3042 3120 3206 3276 3360 3380 3435 3549 3640 3664 3744 4056 4095 4122 4368 4580 4680 4732 4809 5040 5070 5408 5460 5496 5915 5954 6084 6240 6412 6552 6760 6870 7098 7280 7328 7605 8015 8112 8190 8244 8736 8931 9160 9360 9464 9618 10080 10140 10305 10647 10920 10992 11830 11908 12168 12824 13104 13520 13740 14196 14427 14560 14885 15210 16030 16224 16380 16488 17745 17862 18320 18720 18928 19236 20280 20610 20839 21294 21840 21984 23660 23816 24045 24336 25648 26208 26793 27040 27480 28392 28854 29770 30420 32060 32760 32976 35490 35724 36640 37856 38472 38701 40560 41220 41678 42588 43680 44655 47320 47632 48090 48672 51296 53235 53586 54960 56784 57708 59540 60840 62517 64120 65520 65952 70980 71448 72135 76944 77402 81120 82440 83356 85176 89310 94640 95264 96180 104195 106470 107172 109920 113568 115416 116103 119080 121680 125034 128240 131040 133965 141960 142896 144270 153888 154804 164880 166712 170352 178620 187551 189280 192360 193505 208390 212940 214344 230832 232206 238160 243360 250068 256480 267930 270907 283920 285792 288540 309608 312585 329760 333424 340704 348309 357240 375102 384720 387010 416780 425880 428688 461664 464412 476320 500136 535860 541814 567840 577080 580515 619216 625170 666848 696618 714480 750204 769440 774020 812721 833560 851760 857376 928824 937755 1000272 1071720 1083628 1154160 1161030 1238432 1250340 1354535 1393236 1428960 1500408 1548040 1625442 1667120 1703520 1741545 1857648 1875510 2000544 2143440 2167256 2308320 2322060 2438163 2500680 2709070 2786472 3000816 3096080 3250884 3334240 3483090 3715296 3751020 4063605 4286880 4334512 4644120 4876326 5001360 5418140 5572944 6001632 6192160 6501768 6966180 7502040 8127210 8669024 9288240 9752652 10002720 10836280 11145888 12190815 13003536 13932360 15004080 16254420 18576480 19505304 21672560 24381630 26007072 27864720 30008160 32508840 39010608 43345120 48763260 55729440 65017680 78021216 97526520 130035360 195053040 390106080
- Sum of all divisors σ(n): 1654642080
- Sum of proper divisors (its aliquot sum) s(n): 1264536000
- 390106080 is an abundant number, because the sum of its proper divisors (1264536000) is greater than itself. Its abundance is 874429920
Bases of 390106080
- Binary: 101110100000010001011111000002
- Hexadecimal: 0x17408BE0
- Base-36: 6G9BS0
Squares and roots of 390106080
- 390106080 squared (3901060802) is 152182753652966400
- 390106080 cubed (3901060803) is 59367417471164402675712000
-
The
square root of 390106080 is 19751.1032603245 -
The
cube root of 390106080 is 730.6805937697
Scales and comparisons
How big is 390106080?- 390,106,080 seconds is equal to 12 years, 21 weeks, 2 hours, 48 minutes.
-
To count from 1 to 390,106,080 would take you about eighteen 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 390106080 cubic inches would be around 60.9 feet tall.
Recreational maths with 390106080
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