3968160
3,968,160 is an even composite number composed of five prime numbers multiplied together.
3968160 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 3968160:
25 × 3 × 5 × 7 × 1181
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 1181)See below for interesting mathematical facts about the number 3968160 from the Numbermatics database.
Names of 3968160
- Cardinal: 3968160 can be written as Three million, nine hundred sixty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 3.96816 × 106
Factors of 3968160
Divisors of 3968160
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1181 1680 2362 3360 3543 4724 5905 7086 8267 9448 11810 14172 16534 17715 18896 23620 24801 28344 33068 35430 37792 41335 47240 49602 56688 66136 70860 82670 94480 99204 113376 124005 132272 141720 165340 188960 198408 248010 264544 283440 330680 396816 496020 566880 661360 793632 992040 1322720 1984080 3968160
- Sum of all divisors σ(n): 14297472
- Sum of proper divisors (its aliquot sum) s(n): 10329312
- 3968160 is an abundant number, because the sum of its proper divisors (10329312) is greater than itself. Its abundance is 6361152
Bases of 3968160
- Binary: 11110010001100101000002
- Hexadecimal: 0x3C8CA0
- Base-36: 2D1UO
Squares and roots of 3968160
- 3968160 squared (39681602) is 15746293785600
- 3968160 cubed (39681603) is 62483813148266496000
-
The
square root of 3968160 is 1992.0240962399 -
The
cube root of 3968160 is 158.3177922573
Scales and comparisons
How big is 3968160?- 3,968,160 seconds is equal to 6 weeks, 3 days, 22 hours, 16 minutes.
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To count from 1 to 3,968,160 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 3968160 cubic inches would be around 13.2 feet tall.
Recreational maths with 3968160
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The information we have on file for 3968160 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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