20448960
20,448,960 is an even composite number composed of six prime numbers multiplied together.
20448960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 20448960:
26 × 3 × 5 × 7 × 17 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 179)See below for interesting mathematical facts about the number 20448960 from the Numbermatics database.
Names of 20448960
- Cardinal: 20448960 can be written as Twenty million, four hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.044896 × 107
Factors of 20448960
Divisors of 20448960
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 179 192 204 210 224 238 240 255 272 280 320 336 340 357 358 408 420 448 476 480 510 537 544 560 595 672 680 714 716 816 840 895 952 960 1020 1074 1088 1120 1190 1253 1344 1360 1428 1432 1632 1680 1785 1790 1904 2040 2148 2240 2380 2506 2685 2720 2856 2864 3043 3264 3360 3570 3580 3759 3808 4080 4296 4760 5012 5370 5440 5712 5728 6086 6265 6720 7140 7160 7518 7616 8160 8592 9129 9520 10024 10740 11424 11456 12172 12530 14280 14320 15036 15215 16320 17184 18258 18795 19040 20048 21301 21480 22848 24344 25060 28560 28640 30072 30430 34368 36516 37590 38080 40096 42602 42960 45645 48688 50120 57120 57280 60144 60860 63903 73032 75180 80192 85204 85920 91290 97376 100240 106505 114240 120288 121720 127806 146064 150360 170408 171840 182580 194752 200480 213010 240576 243440 255612 292128 300720 319515 340816 365160 400960 426020 486880 511224 584256 601440 639030 681632 730320 852040 973760 1022448 1202880 1278060 1363264 1460640 1704080 2044896 2556120 2921280 3408160 4089792 5112240 6816320 10224480 20448960
- Sum of all divisors σ(n): 79004160
- Sum of proper divisors (its aliquot sum) s(n): 58555200
- 20448960 is an abundant number, because the sum of its proper divisors (58555200) is greater than itself. Its abundance is 38106240
Bases of 20448960
- Binary: 10011100000000110110000002
- Hexadecimal: 0x13806C0
- Base-36: C6AIO
Squares and roots of 20448960
- 20448960 squared (204489602) is 418159965081600
- 20448960 cubed (204489603) is 8550936399555035136000
-
The
square root of 20448960 is 4522.0526312727 -
The
cube root of 20448960 is 273.4578585223
Scales and comparisons
How big is 20448960?- 20,448,960 seconds is equal to 33 weeks, 5 days, 16 hours, 16 minutes.
-
To count from 1 to 20,448,960 would take you about fifty 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 20448960 cubic inches would be around 22.8 feet tall.
Recreational maths with 20448960
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The information we have on file for 20448960 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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