5140800
5,140,800 is an even composite number composed of five prime numbers multiplied together.
5140800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 5140800:
26 × 33 × 52 × 7 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 17)See below for interesting mathematical facts about the number 5140800 from the Numbermatics database.
Names of 5140800
- Cardinal: 5140800 can be written as Five million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 5.1408 × 106
Factors of 5140800
Divisors of 5140800
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 108 112 119 120 126 135 136 140 144 150 153 160 168 170 175 180 189 192 200 204 210 216 224 225 238 240 252 255 270 272 280 288 300 306 315 320 336 340 350 357 360 378 400 408 420 425 432 448 450 459 476 480 504 510 525 540 544 560 576 595 600 612 630 672 675 680 700 714 720 756 765 800 816 840 850 864 900 918 945 952 960 1008 1020 1050 1071 1080 1088 1120 1190 1200 1224 1260 1275 1344 1350 1360 1400 1428 1440 1512 1530 1575 1600 1632 1680 1700 1728 1785 1800 1836 1890 1904 2016 2040 2100 2142 2160 2240 2295 2380 2400 2448 2520 2550 2700 2720 2800 2856 2880 2975 3024 3060 3150 3213 3264 3360 3400 3570 3600 3672 3780 3808 3825 4032 4080 4200 4284 4320 4590 4725 4760 4800 4896 5040 5100 5355 5400 5440 5600 5712 5950 6048 6120 6300 6426 6720 6800 7140 7200 7344 7560 7616 7650 8160 8400 8568 8640 8925 9180 9450 9520 9792 10080 10200 10710 10800 11200 11424 11475 11900 12096 12240 12600 12852 13600 14280 14400 14688 15120 15300 16065 16320 16800 17136 17850 18360 18900 19040 20160 20400 21420 21600 22848 22950 23800 24480 25200 25704 26775 27200 28560 29376 30240 30600 32130 33600 34272 35700 36720 37800 38080 40800 42840 43200 45900 47600 48960 50400 51408 53550 57120 60480 61200 64260 68544 71400 73440 75600 80325 81600 85680 91800 95200 100800 102816 107100 114240 122400 128520 142800 146880 151200 160650 171360 183600 190400 205632 214200 244800 257040 285600 302400 321300 342720 367200 428400 514080 571200 642600 734400 856800 1028160 1285200 1713600 2570400 5140800
- Sum of all divisors σ(n): 22677120
- Sum of proper divisors (its aliquot sum) s(n): 17536320
- 5140800 is an abundant number, because the sum of its proper divisors (17536320) is greater than itself. Its abundance is 12395520
Bases of 5140800
- Binary: 100111001110001010000002
- Hexadecimal: 0x4E7140
- Base-36: 326O0
Squares and roots of 5140800
- 5140800 squared (51408002) is 26427824640000
- 5140800 cubed (51408003) is 135860160909312000000
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The
square root of 5140800 is 2267.3332353227 -
The
cube root of 5140800 is 172.5878569469
Scales and comparisons
How big is 5140800?- 5,140,800 seconds is equal to 8 weeks, 3 days, 12 hours.
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To count from 1 to 5,140,800 would take you about twelve 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 5140800 cubic inches would be around 14.4 feet tall.
Recreational maths with 5140800
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