2005164
2,005,164 is an even composite number composed of five prime numbers multiplied together.
2005164 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 2005164:
22 × 32 × 7 × 73 × 109
(2 × 2 × 3 × 3 × 7 × 73 × 109)See below for interesting mathematical facts about the number 2005164 from the Numbermatics database.
Names of 2005164
- Cardinal: 2005164 can be written as Two million, five thousand, one hundred sixty-four.
Scientific notation
- Scientific notation: 2.005164 × 106
Factors of 2005164
Divisors of 2005164
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 109 126 146 218 219 252 292 327 436 438 511 654 657 763 876 981 1022 1308 1314 1526 1533 1962 2044 2289 2628 3052 3066 3924 4578 4599 6132 6867 7957 9156 9198 13734 15914 18396 23871 27468 31828 47742 55699 71613 95484 111398 143226 167097 222796 286452 334194 501291 668388 1002582 2005164
- Sum of all divisors σ(n): 5925920
- Sum of proper divisors (its aliquot sum) s(n): 3920756
- 2005164 is an abundant number, because the sum of its proper divisors (3920756) is greater than itself. Its abundance is 1915592
Bases of 2005164
- Binary: 1111010011000101011002
- Hexadecimal: 0x1E98AC
- Base-36: 16Z70
Squares and roots of 2005164
- 2005164 squared (20051642) is 4020682666896
- 2005164 cubed (20051643) is 8062128139083850944
-
The
square root of 2005164 is 1416.0381350797 -
The
cube root of 2005164 is 126.1004489999
Scales and comparisons
How big is 2005164?- 2,005,164 seconds is equal to 3 weeks, 2 days, 4 hours, 59 minutes, 24 seconds.
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To count from 1 to 2,005,164 would take you about four 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 2005164 cubic inches would be around 10.5 feet tall.
Recreational maths with 2005164
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The information we have on file for 2005164 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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