5385600
5,385,600 is an even composite number composed of five prime numbers multiplied together.
5385600 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 5385600:
27 × 32 × 52 × 11 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 17)See below for interesting mathematical facts about the number 5385600 from the Numbermatics database.
Names of 5385600
- Cardinal: 5385600 can be written as Five million, three hundred eighty-five thousand, six hundred.
Scientific notation
- Scientific notation: 5.3856 × 106
Factors of 5385600
Divisors of 5385600
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 40 44 45 48 50 51 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 110 120 128 132 136 144 150 153 160 165 170 176 180 187 192 198 200 204 220 225 240 255 264 272 275 288 300 306 320 330 340 352 360 374 384 396 400 408 425 440 450 480 495 510 528 544 550 561 576 600 612 640 660 680 704 720 748 765 792 800 816 825 850 880 900 935 960 990 1020 1056 1088 1100 1122 1152 1200 1224 1275 1320 1360 1408 1440 1496 1530 1584 1600 1632 1650 1683 1700 1760 1800 1870 1920 1980 2040 2112 2176 2200 2244 2400 2448 2475 2550 2640 2720 2805 2880 2992 3060 3168 3200 3264 3300 3366 3400 3520 3600 3740 3825 3960 4080 4224 4400 4488 4675 4800 4896 4950 5100 5280 5440 5610 5760 5984 6120 6336 6528 6600 6732 6800 7040 7200 7480 7650 7920 8160 8415 8800 8976 9350 9600 9792 9900 10200 10560 10880 11220 11968 12240 12672 13200 13464 13600 14025 14400 14960 15300 15840 16320 16830 17600 17952 18700 19584 19800 20400 21120 22440 23936 24480 26400 26928 27200 28050 28800 29920 30600 31680 32640 33660 35200 35904 37400 39600 40800 42075 44880 48960 52800 53856 54400 56100 59840 61200 63360 67320 71808 74800 79200 81600 84150 89760 97920 105600 107712 112200 119680 122400 134640 149600 158400 163200 168300 179520 215424 224400 244800 269280 299200 316800 336600 359040 448800 489600 538560 598400 673200 897600 1077120 1346400 1795200 2692800 5385600
- Sum of all divisors σ(n): 22197240
- Sum of proper divisors (its aliquot sum) s(n): 16811640
- 5385600 is an abundant number, because the sum of its proper divisors (16811640) is greater than itself. Its abundance is 11426040
Bases of 5385600
- Binary: 101001000101101100000002
- Hexadecimal: 0x522D80
- Base-36: 37FK0
Squares and roots of 5385600
- 5385600 squared (53856002) is 29004687360000
- 5385600 cubed (53856003) is 156207644246016000000
-
The
square root of 5385600 is 2320.6895526977 -
The
cube root of 5385600 is 175.2849778543
Scales and comparisons
How big is 5385600?- 5,385,600 seconds is equal to 8 weeks, 6 days, 8 hours.
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To count from 1 to 5,385,600 would take you about thirteen 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 5385600 cubic inches would be around 14.6 feet tall.
Recreational maths with 5385600
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The information we have on file for 5385600 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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