12307680
12,307,680 is an even composite number composed of six prime numbers multiplied together.
12307680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 12307680:
25 × 33 × 5 × 7 × 11 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 37)See below for interesting mathematical facts about the number 12307680 from the Numbermatics database.
Names of 12307680
- Cardinal: 12307680 can be written as Twelve million, three hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.230768 × 107
Factors of 12307680
Divisors of 12307680
- 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 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 37 40 42 44 45 48 54 55 56 60 63 66 70 72 74 77 80 84 88 90 96 99 105 108 110 111 112 120 126 132 135 140 144 148 154 160 165 168 176 180 185 189 198 210 216 220 222 224 231 240 252 259 264 270 280 288 296 297 308 315 330 333 336 352 360 370 378 385 396 407 420 432 440 444 462 480 495 504 518 528 540 555 560 592 594 616 630 660 666 672 693 720 740 756 770 777 792 814 840 864 880 888 924 945 990 999 1008 1036 1056 1080 1110 1120 1155 1184 1188 1221 1232 1260 1295 1320 1332 1386 1440 1480 1485 1512 1540 1554 1584 1628 1665 1680 1760 1776 1848 1890 1980 1998 2016 2035 2072 2079 2160 2220 2310 2331 2376 2442 2464 2520 2590 2640 2664 2772 2849 2960 2970 3024 3080 3108 3168 3256 3330 3360 3465 3552 3663 3696 3780 3885 3960 3996 4070 4144 4158 4320 4440 4620 4662 4752 4884 4995 5040 5180 5280 5328 5544 5698 5920 5940 6048 6105 6160 6216 6512 6660 6930 6993 7326 7392 7560 7770 7920 7992 8140 8288 8316 8547 8880 9240 9324 9504 9768 9990 10080 10360 10395 10656 10989 11088 11396 11655 11880 12210 12320 12432 13024 13320 13860 13986 14245 14652 15120 15540 15840 15984 16280 16632 17094 17760 18315 18480 18648 19536 19980 20720 20790 21978 22176 22792 23310 23760 24420 24864 25641 26640 27720 27972 28490 29304 30240 31080 31968 32560 33264 34188 34965 36630 36960 37296 39072 39960 41440 41580 42735 43956 45584 46620 47520 48840 51282 53280 54945 55440 55944 56980 58608 62160 65120 66528 68376 69930 73260 74592 76923 79920 83160 85470 87912 91168 93240 97680 102564 109890 110880 111888 113960 117216 124320 128205 136752 139860 146520 153846 159840 166320 170940 175824 186480 195360 205128 219780 223776 227920 256410 273504 279720 293040 307692 332640 341880 351648 372960 384615 410256 439560 455840 512820 559440 586080 615384 683760 769230 820512 879120 1025640 1118880 1230768 1367520 1538460 1758240 2051280 2461536 3076920 4102560 6153840 12307680
- Sum of all divisors σ(n): 55157760
- Sum of proper divisors (its aliquot sum) s(n): 42850080
- 12307680 is an abundant number, because the sum of its proper divisors (42850080) is greater than itself. Its abundance is 30542400
Bases of 12307680
- Binary: 1011101111001100111000002
- Hexadecimal: 0xBBCCE0
- Base-36: 7BSO0
Squares and roots of 12307680
- 12307680 squared (123076802) is 151478986982400
- 12307680 cubed (123076803) is 1864354898503544832000
-
The
square root of 12307680 is 3508.2303231117 -
The
cube root of 12307680 is 230.8830576915
Scales and comparisons
How big is 12307680?- 12,307,680 seconds is equal to 20 weeks, 2 days, 10 hours, 48 minutes.
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To count from 1 to 12,307,680 would take you about thirty 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 12307680 cubic inches would be around 19.2 feet tall.
Recreational maths with 12307680
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