820028664
820,028,664 is an even composite number composed of five prime numbers multiplied together.
820028664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 820028664:
23 × 33 × 7 × 13 × 41719
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 41719)See below for interesting mathematical facts about the number 820028664 from the Numbermatics database.
Names of 820028664
- Cardinal: 820028664 can be written as Eight hundred twenty million, twenty-eight thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 8.20028664 × 108
Factors of 820028664
Divisors of 820028664
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 41719 83438 125157 166876 250314 292033 333752 375471 500628 542347 584066 750942 876099 1001256 1084694 1126413 1168132 1501884 1627041 1752198 2169388 2252826 2336264 2628297 3003768 3254082 3504396 3796429 4338776 4505652 4881123 5256594 6508164 7008792 7592858 7884891 9011304 9762246 10513188 11389287 13016328 14643369 15185716 15769782 19524492 21026376 22778574 29286738 30371432 31539564 34167861 39048984 45557148 58573476 63079128 68335722 91114296 102503583 117146952 136671444 205007166 273342888 410014332 820028664
- Sum of all divisors σ(n): 2803584000
- Sum of proper divisors (its aliquot sum) s(n): 1983555336
- 820028664 is an abundant number, because the sum of its proper divisors (1983555336) is greater than itself. Its abundance is 1163526672
Bases of 820028664
- Binary: 1100001110000010100100111110002
- Hexadecimal: 0x30E0A4F8
- Base-36: DK8260
Squares and roots of 820028664
- 820028664 squared (8200286642) is 672447009781624896
- 820028664 cubed (8200286643) is 551425823042020795216018944
-
The
square root of 820028664 is 28636.1426173289 -
The
cube root of 820028664 is 936.0010683749
Scales and comparisons
How big is 820028664?- 820,028,664 seconds is equal to 26 years, 3 weeks, 6 days, 1 hour, 44 minutes, 24 seconds.
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To count from 1 to 820,028,664 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 820028664 cubic inches would be around 78 feet tall.
Recreational maths with 820028664
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