820428075
820,428,075 is an odd composite number composed of six prime numbers multiplied together.
820428075 is an odd 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 820428075:
33 × 52 × 17 × 19 × 53 × 71
(3 × 3 × 3 × 5 × 5 × 17 × 19 × 53 × 71)See below for interesting mathematical facts about the number 820428075 from the Numbermatics database.
Names of 820428075
- Cardinal: 820428075 can be written as Eight hundred twenty million, four hundred twenty-eight thousand and seventy-five.
Scientific notation
- Scientific notation: 8.20428075 × 108
Factors of 820428075
Divisors of 820428075
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 9 15 17 19 25 27 45 51 53 57 71 75 85 95 135 153 159 171 213 225 255 265 285 323 355 425 459 475 477 513 639 675 765 795 855 901 969 1007 1065 1207 1275 1325 1349 1425 1431 1615 1775 1917 2295 2385 2565 2703 2907 3021 3195 3621 3763 3825 3975 4047 4275 4505 4845 5035 5325 6035 6745 7155 8075 8109 8721 9063 9585 10863 11289 11475 11925 12141 12825 13515 14535 15105 15975 17119 18105 18815 20235 22525 22933 24225 24327 25175 27189 30175 32589 33725 33867 35775 36423 40545 43605 45315 47925 51357 54315 56445 60705 63971 67575 68799 71497 72675 75525 85595 90525 94075 101175 101601 114665 121635 135945 154071 162945 169335 182115 191913 202725 206397 214491 218025 226575 256785 271575 282225 303525 319855 343995 357485 427975 462213 508005 573325 575739 608175 619191 643473 679725 770355 814725 846675 910575 959565 1031985 1072455 1215449 1283925 1599275 1719975 1727217 1787425 1930419 2311065 2540025 2878695 3095955 3217365 3646347 3851775 4797825 5159925 5362275 6077245 8636085 9652095 10939041 11555325 14393475 15479775 16086825 18231735 30386225 32817123 43180425 48260475 54695205 91158675 164085615 273476025 820428075
- Sum of all divisors σ(n): 1735603200
- Sum of proper divisors (its aliquot sum) s(n): 915175125
- 820428075 is an abundant number, because the sum of its proper divisors (915175125) is greater than itself. Its abundance is 94747050
Bases of 820428075
- Binary: 1100001110011010111101001010112
- Hexadecimal: 0x30E6BD2B
- Base-36: DKGMCR
Squares and roots of 820428075
- 820428075 squared (8204280752) is 673102226248205625
- 820428075 cubed (8204280753) is 552231963759029813122921875
-
The
square root of 820428075 is 28643.1156650249 -
The
cube root of 820428075 is 936.1530095849
Scales and comparisons
How big is 820428075?- 820,428,075 seconds is equal to 26 years, 4 weeks, 3 days, 16 hours, 41 minutes, 15 seconds.
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To count from 1 to 820,428,075 would take you about thirty-nine years!
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 820428075 cubic inches would be around 78 feet tall.
Recreational maths with 820428075
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The information we have on file for 820428075 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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