253968
253,968 is an even composite number composed of five prime numbers multiplied together.
253968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 253968:
24 × 3 × 11 × 13 × 37
(2 × 2 × 2 × 2 × 3 × 11 × 13 × 37)See below for interesting mathematical facts about the number 253968 from the Numbermatics database.
Names of 253968
- Cardinal: 253968 can be written as Two hundred fifty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 2.53968 × 105
Factors of 253968
Divisors of 253968
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 66 74 78 88 104 111 132 143 148 156 176 208 222 264 286 296 312 407 429 444 481 528 572 592 624 814 858 888 962 1144 1221 1443 1628 1716 1776 1924 2288 2442 2886 3256 3432 3848 4884 5291 5772 6512 6864 7696 9768 10582 11544 15873 19536 21164 23088 31746 42328 63492 84656 126984 253968
- Sum of all divisors σ(n): 791616
- Sum of proper divisors (its aliquot sum) s(n): 537648
- 253968 is an abundant number, because the sum of its proper divisors (537648) is greater than itself. Its abundance is 283680
Bases of 253968
- Binary: 1111100000000100002
- Hexadecimal: 0x3E010
- Base-36: 5FYO
Squares and roots of 253968
- 253968 squared (2539682) is 64499745024
- 253968 cubed (2539683) is 16380871244255232
-
The
square root of 253968 is 503.9523787025 -
The
cube root of 253968 is 63.3275956637
Scales and comparisons
How big is 253968?- 253,968 seconds is equal to 2 days, 22 hours, 32 minutes, 48 seconds.
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To count from 1 to 253,968 would take you about two days.
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 253968 cubic inches would be around 5.3 feet tall.
Recreational maths with 253968
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The information we have on file for 253968 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!
Keywords: Divisors of 253968, math, Factors of 253968, curriculum, school, college, exams, university, Prime factorization of 253968, STEM, science, technology, engineering, physics, economics, calculator, two hundred fifty-three thousand, nine hundred sixty-eight.