12640320
12,640,320 is an even composite number composed of six prime numbers multiplied together.
12640320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 12640320:
26 × 33 × 5 × 7 × 11 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 19)See below for interesting mathematical facts about the number 12640320 from the Numbermatics database.
Names of 12640320
- Cardinal: 12640320 can be written as Twelve million, six hundred forty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.264032 × 107
Factors of 12640320
Divisors of 12640320
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 27 28 30 32 33 35 36 38 40 42 44 45 48 54 55 56 57 60 63 64 66 70 72 76 77 80 84 88 90 95 96 99 105 108 110 112 114 120 126 132 133 135 140 144 152 154 160 165 168 171 176 180 189 190 192 198 209 210 216 220 224 228 231 240 252 264 266 270 280 285 288 297 304 308 315 320 330 336 342 352 360 378 380 385 396 399 418 420 432 440 448 456 462 480 495 504 513 528 532 540 560 570 576 594 608 616 627 630 660 665 672 684 693 704 720 756 760 770 792 798 836 840 855 864 880 912 924 945 960 990 1008 1026 1045 1056 1064 1080 1120 1140 1155 1188 1197 1216 1232 1254 1260 1320 1330 1344 1368 1386 1440 1463 1485 1512 1520 1540 1584 1596 1672 1680 1710 1728 1760 1824 1848 1881 1890 1980 1995 2016 2052 2079 2090 2112 2128 2160 2240 2280 2310 2376 2394 2464 2508 2520 2565 2640 2660 2736 2772 2880 2926 2970 3024 3040 3080 3135 3168 3192 3344 3360 3420 3465 3520 3591 3648 3696 3762 3780 3960 3990 4032 4104 4158 4180 4256 4320 4389 4560 4620 4752 4788 4928 5016 5040 5130 5280 5320 5472 5544 5643 5852 5940 5985 6048 6080 6160 6270 6336 6384 6688 6720 6840 6930 7182 7315 7392 7524 7560 7920 7980 8208 8316 8360 8512 8640 8778 9120 9240 9405 9504 9576 10032 10080 10260 10395 10560 10640 10944 11088 11286 11704 11880 11970 12096 12320 12540 12768 13167 13376 13680 13860 14364 14630 14784 15048 15120 15840 15960 16416 16632 16720 17556 17955 18240 18480 18810 19008 19152 20064 20160 20520 20790 21280 21945 22176 22572 23408 23760 23940 24640 25080 25536 26334 27360 27720 28215 28728 29260 30096 30240 31680 31920 32832 33264 33440 35112 35910 36960 37620 38304 39501 40128 41040 41580 42560 43890 44352 45144 46816 47520 47880 50160 52668 54720 55440 56430 57456 58520 60192 60480 63840 65835 66528 66880 70224 71820 73920 75240 76608 79002 82080 83160 87780 90288 93632 95040 95760 100320 105336 110880 112860 114912 117040 120384 127680 131670 133056 140448 143640 150480 158004 164160 166320 175560 180576 191520 197505 200640 210672 221760 225720 229824 234080 263340 280896 287280 300960 316008 332640 351120 361152 383040 395010 421344 451440 468160 526680 574560 601920 632016 665280 702240 790020 842688 902880 1053360 1149120 1264032 1404480 1580040 1805760 2106720 2528064 3160080 4213440 6320160 12640320
- Sum of all divisors σ(n): 58521600
- Sum of proper divisors (its aliquot sum) s(n): 45881280
- 12640320 is an abundant number, because the sum of its proper divisors (45881280) is greater than itself. Its abundance is 33240960
Bases of 12640320
- Binary: 1100000011100000010000002
- Hexadecimal: 0xC0E040
- Base-36: 7IXC0
Squares and roots of 12640320
- 12640320 squared (126403202) is 159777689702400
- 12640320 cubed (126403203) is 2019641126699040768000
-
The
square root of 12640320 is 3555.3227701575 -
The
cube root of 12640320 is 232.9446226465
Scales and comparisons
How big is 12640320?- 12,640,320 seconds is equal to 20 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 12,640,320 would take you about thirty-one 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 12640320 cubic inches would be around 19.4 feet tall.
Recreational maths with 12640320
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