3968640
3,968,640 is an even composite number composed of five prime numbers multiplied together.
3968640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 3968640:
27 × 32 × 5 × 13 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 53)See below for interesting mathematical facts about the number 3968640 from the Numbermatics database.
Names of 3968640
- Cardinal: 3968640 can be written as Three million, nine hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.96864 × 106
Factors of 3968640
Divisors of 3968640
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 53 60 64 65 72 78 80 90 96 104 106 117 120 128 130 144 156 159 160 180 192 195 208 212 234 240 260 265 288 312 318 320 360 384 390 416 424 468 477 480 520 530 576 585 624 636 640 689 720 780 795 832 848 936 954 960 1040 1060 1152 1170 1248 1272 1378 1440 1560 1590 1664 1696 1872 1908 1920 2067 2080 2120 2340 2385 2496 2544 2756 2880 3120 3180 3392 3445 3744 3816 4134 4160 4240 4680 4770 4992 5088 5512 5760 6201 6240 6360 6784 6890 7488 7632 8268 8320 8480 9360 9540 10176 10335 11024 12402 12480 12720 13780 14976 15264 16536 16960 18720 19080 20352 20670 22048 24804 24960 25440 27560 30528 31005 33072 33920 37440 38160 41340 44096 49608 50880 55120 61056 62010 66144 74880 76320 82680 88192 99216 101760 110240 124020 132288 152640 165360 198432 220480 248040 264576 305280 330720 396864 440960 496080 661440 793728 992160 1322880 1984320 3968640
- Sum of all divisors σ(n): 15036840
- Sum of proper divisors (its aliquot sum) s(n): 11068200
- 3968640 is an abundant number, because the sum of its proper divisors (11068200) is greater than itself. Its abundance is 7099560
Bases of 3968640
- Binary: 11110010001110100000002
- Hexadecimal: 0x3C8E80
- Base-36: 2D280
Squares and roots of 3968640
- 3968640 squared (39686402) is 15750103449600
- 3968640 cubed (39686403) is 62506490554220544000
-
The
square root of 3968640 is 1992.1445730669 -
The
cube root of 3968640 is 158.3241755245
Scales and comparisons
How big is 3968640?- 3,968,640 seconds is equal to 6 weeks, 3 days, 22 hours, 24 minutes.
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To count from 1 to 3,968,640 would take you about nine 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 3968640 cubic inches would be around 13.2 feet tall.
Recreational maths with 3968640
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The information we have on file for 3968640 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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