3993120
3,993,120 is an even composite number composed of five prime numbers multiplied together.
3993120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 3993120:
25 × 32 × 5 × 47 × 59
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 47 × 59)See below for interesting mathematical facts about the number 3993120 from the Numbermatics database.
Names of 3993120
- Cardinal: 3993120 can be written as Three million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.99312 × 106
Factors of 3993120
Divisors of 3993120
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 59 60 72 80 90 94 96 118 120 141 144 160 177 180 188 235 236 240 282 288 295 354 360 376 423 470 472 480 531 564 590 705 708 720 752 846 885 940 944 1062 1128 1180 1410 1416 1440 1504 1692 1770 1880 1888 2115 2124 2256 2360 2655 2773 2820 2832 3384 3540 3760 4230 4248 4512 4720 5310 5546 5640 5664 6768 7080 7520 8319 8460 8496 9440 10620 11092 11280 13536 13865 14160 16638 16920 16992 21240 22184 22560 24957 27730 28320 33276 33840 41595 42480 44368 49914 55460 66552 67680 83190 84960 88736 99828 110920 124785 133104 166380 199656 221840 249570 266208 332760 399312 443680 499140 665520 798624 998280 1331040 1996560 3993120
- Sum of all divisors σ(n): 14152320
- Sum of proper divisors (its aliquot sum) s(n): 10159200
- 3993120 is an abundant number, because the sum of its proper divisors (10159200) is greater than itself. Its abundance is 6166080
Bases of 3993120
- Binary: 11110011101110001000002
- Hexadecimal: 0x3CEE20
- Base-36: 2DL40
Squares and roots of 3993120
- 3993120 squared (39931202) is 15945007334400
- 3993120 cubed (39931203) is 63670327687139328000
-
The
square root of 3993120 is 1998.2792597631 -
The
cube root of 3993120 is 158.6490419737
Scales and comparisons
How big is 3993120?- 3,993,120 seconds is equal to 6 weeks, 4 days, 5 hours, 12 minutes.
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To count from 1 to 3,993,120 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 3993120 cubic inches would be around 13.2 feet tall.
Recreational maths with 3993120
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The information we have on file for 3993120 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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