20428320
20,428,320 is an even composite number composed of six prime numbers multiplied together.
20428320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 20428320:
25 × 3 × 5 × 11 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 53 × 73)See below for interesting mathematical facts about the number 20428320 from the Numbermatics database.
Names of 20428320
- Cardinal: 20428320 can be written as Twenty million, four hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.042832 × 107
Factors of 20428320
Divisors of 20428320
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 53 55 60 66 73 80 88 96 106 110 120 132 146 159 160 165 176 212 219 220 240 264 265 292 318 330 352 365 424 438 440 480 528 530 583 584 636 660 730 795 803 848 876 880 1056 1060 1095 1166 1168 1272 1320 1460 1590 1606 1696 1749 1752 1760 2120 2190 2332 2336 2409 2544 2640 2915 2920 3180 3212 3498 3504 3869 4015 4240 4380 4664 4818 5088 5280 5830 5840 6360 6424 6996 7008 7738 8030 8480 8745 8760 9328 9636 11607 11660 11680 12045 12720 12848 13992 15476 16060 17490 17520 18656 19272 19345 23214 23320 24090 25440 25696 27984 30952 32120 34980 35040 38544 38690 42559 46428 46640 48180 55968 58035 61904 64240 69960 77088 77380 85118 92856 93280 96360 116070 123808 127677 128480 139920 154760 170236 185712 192720 212795 232140 255354 279840 309520 340472 371424 385440 425590 464280 510708 619040 638385 680944 851180 928560 1021416 1276770 1361888 1702360 1857120 2042832 2553540 3404720 4085664 5107080 6809440 10214160 20428320
- Sum of all divisors σ(n): 72503424
- Sum of proper divisors (its aliquot sum) s(n): 52075104
- 20428320 is an abundant number, because the sum of its proper divisors (52075104) is greater than itself. Its abundance is 31646784
Bases of 20428320
- Binary: 10011011110110110001000002
- Hexadecimal: 0x137B620
- Base-36: C5ULC
Squares and roots of 20428320
- 20428320 squared (204283202) is 417316258022400
- 20428320 cubed (204283203) is 8525070060084154368000
-
The
square root of 20428320 is 4519.7699056479 -
The
cube root of 20428320 is 273.3658233571
Scales and comparisons
How big is 20428320?- 20,428,320 seconds is equal to 33 weeks, 5 days, 10 hours, 32 minutes.
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To count from 1 to 20,428,320 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 20428320 cubic inches would be around 22.8 feet tall.
Recreational maths with 20428320
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The information we have on file for 20428320 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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