12136320
12,136,320 is an even composite number composed of five prime numbers multiplied together.
12136320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12136320:
27 × 32 × 5 × 72 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 43)See below for interesting mathematical facts about the number 12136320 from the Numbermatics database.
Names of 12136320
- Cardinal: 12136320 can be written as Twelve million, one hundred thirty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.213632 × 107
Factors of 12136320
Divisors of 12136320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 43 45 48 49 56 60 63 64 70 72 80 84 86 90 96 98 105 112 120 126 128 129 140 144 147 160 168 172 180 192 196 210 215 224 240 245 252 258 280 288 294 301 315 320 336 344 360 384 387 392 420 430 441 448 480 490 504 516 560 576 588 602 630 640 645 672 688 720 735 774 784 840 860 882 896 903 960 980 1008 1032 1120 1152 1176 1204 1260 1290 1344 1376 1440 1470 1505 1548 1568 1680 1720 1764 1806 1920 1935 1960 2016 2064 2107 2205 2240 2352 2408 2520 2580 2688 2709 2752 2880 2940 3010 3096 3136 3360 3440 3528 3612 3870 3920 4032 4128 4214 4410 4480 4515 4704 4816 5040 5160 5418 5504 5760 5880 6020 6192 6272 6321 6720 6880 7056 7224 7740 7840 8064 8256 8428 8820 9030 9408 9632 10080 10320 10535 10836 11760 12040 12384 12642 13440 13545 13760 14112 14448 15480 15680 16512 16856 17640 18060 18816 18963 19264 20160 20640 21070 21672 23520 24080 24768 25284 27090 27520 28224 28896 30960 31360 31605 33712 35280 36120 37926 38528 40320 41280 42140 43344 47040 48160 49536 50568 54180 56448 57792 61920 63210 67424 70560 72240 75852 82560 84280 86688 94080 94815 96320 101136 108360 115584 123840 126420 134848 141120 144480 151704 168560 173376 189630 192640 202272 216720 247680 252840 269696 282240 288960 303408 337120 346752 379260 404544 433440 505680 577920 606816 674240 758520 809088 866880 1011360 1213632 1348480 1517040 1733760 2022720 2427264 3034080 4045440 6068160 12136320
- Sum of all divisors σ(n): 49884120
- Sum of proper divisors (its aliquot sum) s(n): 37747800
- 12136320 is an abundant number, because the sum of its proper divisors (37747800) is greater than itself. Its abundance is 25611480
Bases of 12136320
- Binary: 1011100100101111100000002
- Hexadecimal: 0xB92F80
- Base-36: 784G0
Squares and roots of 12136320
- 12136320 squared (121363202) is 147290263142400
- 12136320 cubed (121363203) is 1787561766380371968000
-
The
square root of 12136320 is 3483.7221473591 -
The
cube root of 12136320 is 229.8065165503
Scales and comparisons
How big is 12136320?- 12,136,320 seconds is equal to 20 weeks, 11 hours, 12 minutes.
-
To count from 1 to 12,136,320 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 12136320 cubic inches would be around 19.2 feet tall.
Recreational maths with 12136320
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"Number 12136320 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
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