12093120
12,093,120 is an even composite number composed of six prime numbers multiplied together.
12093120 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 12093120:
26 × 32 × 5 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 19)See below for interesting mathematical facts about the number 12093120 from the Numbermatics database.
Names of 12093120
- Cardinal: 12093120 can be written as Twelve million, ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.209312 × 107
Factors of 12093120
Divisors of 12093120
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 19 20 24 26 30 32 34 36 38 39 40 45 48 51 52 57 60 64 65 68 72 76 78 80 85 90 95 96 102 104 114 117 120 130 136 144 152 153 156 160 170 171 180 190 192 195 204 208 221 228 234 240 247 255 260 272 285 288 304 306 312 320 323 340 342 360 380 390 408 416 442 456 468 480 494 510 520 544 570 576 585 608 612 624 646 663 680 684 720 741 760 765 780 816 832 855 884 912 936 960 969 988 1020 1040 1088 1105 1140 1170 1216 1224 1235 1248 1292 1326 1360 1368 1440 1482 1520 1530 1560 1615 1632 1710 1768 1824 1872 1938 1976 1989 2040 2080 2210 2223 2280 2340 2448 2470 2496 2584 2652 2720 2736 2880 2907 2964 3040 3060 3120 3230 3264 3315 3420 3536 3648 3705 3744 3876 3952 3978 4080 4160 4199 4420 4446 4560 4680 4845 4896 4940 5168 5304 5440 5472 5814 5928 6080 6120 6240 6460 6630 6840 7072 7410 7488 7752 7904 7956 8160 8398 8840 8892 9120 9360 9690 9792 9880 9945 10336 10608 10944 11115 11628 11856 12240 12480 12597 12920 13260 13680 14144 14535 14820 15504 15808 15912 16320 16796 17680 17784 18240 18720 19380 19760 19890 20672 20995 21216 22230 23256 23712 24480 25194 25840 26520 27360 29070 29640 31008 31824 33592 35360 35568 37440 37791 38760 39520 39780 41990 42432 44460 46512 47424 48960 50388 51680 53040 54720 58140 59280 62016 62985 63648 67184 70720 71136 75582 77520 79040 79560 83980 88920 93024 100776 103360 106080 116280 118560 125970 127296 134368 142272 151164 155040 159120 167960 177840 186048 188955 201552 212160 232560 237120 251940 268736 302328 310080 318240 335920 355680 377910 403104 465120 503880 604656 636480 671840 711360 755820 806208 930240 1007760 1209312 1343680 1511640 2015520 2418624 3023280 4031040 6046560 12093120
- Sum of all divisors σ(n): 49926240
- Sum of proper divisors (its aliquot sum) s(n): 37833120
- 12093120 is an abundant number, because the sum of its proper divisors (37833120) is greater than itself. Its abundance is 25740000
Bases of 12093120
- Binary: 1011100010000110110000002
- Hexadecimal: 0xB886C0
- Base-36: 77740
Squares and roots of 12093120
- 12093120 squared (120931202) is 146243551334400
- 12093120 cubed (120931203) is 1768540815513059328000
-
The
square root of 12093120 is 3477.5163551017 -
The
cube root of 12093120 is 229.5335220943
Scales and comparisons
How big is 12093120?- 12,093,120 seconds is equal to 19 weeks, 6 days, 23 hours, 12 minutes.
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To count from 1 to 12,093,120 would take you about twenty-nine 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 12093120 cubic inches would be around 19.1 feet tall.
Recreational maths with 12093120
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