82131840
82,131,840 is an even composite number composed of five prime numbers multiplied together.
82131840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 82131840:
27 × 33 × 5 × 72 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 97)See below for interesting mathematical facts about the number 82131840 from the Numbermatics database.
Names of 82131840
- Cardinal: 82131840 can be written as Eighty-two million, one hundred thirty-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 8.213184 × 107
Factors of 82131840
Divisors of 82131840
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 84 90 96 97 98 105 108 112 120 126 128 135 140 144 147 160 168 180 189 192 194 196 210 216 224 240 245 252 270 280 288 291 294 315 320 336 360 378 384 388 392 420 432 441 448 480 485 490 504 540 560 576 582 588 630 640 672 679 720 735 756 776 784 840 864 873 882 896 945 960 970 980 1008 1080 1120 1152 1164 1176 1260 1323 1344 1358 1440 1455 1470 1512 1552 1568 1680 1728 1746 1764 1890 1920 1940 1960 2016 2037 2160 2205 2240 2328 2352 2520 2619 2646 2688 2716 2880 2910 2940 3024 3104 3136 3360 3395 3456 3492 3528 3780 3880 3920 4032 4074 4320 4365 4410 4480 4656 4704 4753 5040 5238 5292 5432 5760 5820 5880 6048 6111 6208 6272 6615 6720 6790 6984 7056 7560 7760 7840 8064 8148 8640 8730 8820 9312 9408 9506 10080 10185 10476 10584 10864 11640 11760 12096 12222 12416 13095 13230 13440 13580 13968 14112 14259 15120 15520 15680 16296 17280 17460 17640 18333 18624 18816 19012 20160 20370 20952 21168 21728 23280 23520 23765 24192 24444 26190 26460 27160 27936 28224 28518 30240 30555 31040 31360 32592 34920 35280 36666 37248 38024 40320 40740 41904 42336 42777 43456 46560 47040 47530 48888 52380 52920 54320 55872 56448 57036 60480 61110 62080 65184 69840 70560 71295 73332 76048 81480 83808 84672 85554 86912 91665 93120 94080 95060 97776 104760 105840 108640 111744 114072 120960 122220 128331 130368 139680 141120 142590 146664 152096 162960 167616 169344 171108 183330 186240 190120 195552 209520 211680 213885 217280 228144 244440 256662 260736 279360 282240 285180 293328 304192 325920 335232 342216 366660 380240 391104 419040 423360 427770 434560 456288 488880 513324 558720 570360 586656 608384 641655 651840 684432 733320 760480 782208 838080 846720 855540 912576 977760 1026648 1140720 1173312 1283310 1303680 1368864 1466640 1520960 1676160 1711080 1825152 1955520 2053296 2281440 2346624 2566620 2737728 2933280 3041920 3422160 3911040 4106592 4562880 5133240 5475456 5866560 6844320 8213184 9125760 10266480 11733120 13688640 16426368 20532960 27377280 41065920 82131840
- Sum of all divisors σ(n): 341863200
- Sum of proper divisors (its aliquot sum) s(n): 259731360
- 82131840 is an abundant number, because the sum of its proper divisors (259731360) is greater than itself. Its abundance is 177599520
Bases of 82131840
- Binary: 1001110010100111011100000002
- Hexadecimal: 0x4E53B80
- Base-36: 1CWDC0
Squares and roots of 82131840
- 82131840 squared (821318402) is 6745639141785600
- 82131840 cubed (821318403) is 554031754690872213504000
-
The
square root of 82131840 is 9062.6618606235 -
The
cube root of 82131840 is 434.6808598541
Scales and comparisons
How big is 82131840?- 82,131,840 seconds is equal to 2 years, 31 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 82,131,840 would take you about three 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 82131840 cubic inches would be around 36.2 feet tall.
Recreational maths with 82131840
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