420427728
420,427,728 is an even composite number composed of five prime numbers multiplied together.
420427728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 420427728:
24 × 32 × 7 × 631 × 661
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 631 × 661)See below for interesting mathematical facts about the number 420427728 from the Numbermatics database.
Names of 420427728
- Cardinal: 420427728 can be written as Four hundred twenty million, four hundred twenty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.20427728 × 108
Factors of 420427728
Divisors of 420427728
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 631 661 1008 1262 1322 1893 1983 2524 2644 3786 3966 4417 4627 5048 5288 5679 5949 7572 7932 8834 9254 10096 10576 11358 11898 13251 13881 15144 15864 17668 18508 22716 23796 26502 27762 30288 31728 35336 37016 39753 41643 45432 47592 53004 55524 70672 74032 79506 83286 90864 95184 106008 111048 159012 166572 212016 222096 318024 333144 417091 636048 666288 834182 1251273 1668364 2502546 2919637 3336728 3753819 5005092 5839274 6673456 7507638 8758911 10010184 11678548 15015276 17517822 20020368 23357096 26276733 30030552 35035644 46714192 52553466 60061104 70071288 105106932 140142576 210213864 420427728
- Sum of all divisors σ(n): 1348870016
- Sum of proper divisors (its aliquot sum) s(n): 928442288
- 420427728 is an abundant number, because the sum of its proper divisors (928442288) is greater than itself. Its abundance is 508014560
Bases of 420427728
- Binary: 110010000111100110111110100002
- Hexadecimal: 0x190F37D0
- Base-36: 6YB840
Squares and roots of 420427728
- 420427728 squared (4204277282) is 176759474471241984
- 420427728 cubed (4204277283) is 74314584254418268671332352
-
The
square root of 420427728 is 20504.3343710543 -
The
cube root of 420427728 is 749.1413747253
Scales and comparisons
How big is 420427728?- 420,427,728 seconds is equal to 13 years, 19 weeks, 1 day, 1 hour, 28 minutes, 48 seconds.
-
To count from 1 to 420,427,728 would take you about twenty 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 420427728 cubic inches would be around 62.4 feet tall.
Recreational maths with 420427728
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"Number 420427728 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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The information we have on file for 420427728 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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