230880
230,880 is an even composite number composed of five prime numbers multiplied together.
What does the number 230880 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
230880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 230880:
25 × 3 × 5 × 13 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 37)See below for interesting mathematical facts about the number 230880 from the Numbermatics database.
Names of 230880
- Cardinal: 230880 can be written as Two hundred thirty thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 2.3088 × 105
Factors of 230880
Divisors of 230880
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 37 39 40 48 52 60 65 74 78 80 96 104 111 120 130 148 156 160 185 195 208 222 240 260 296 312 370 390 416 444 480 481 520 555 592 624 740 780 888 962 1040 1110 1184 1248 1443 1480 1560 1776 1924 2080 2220 2405 2886 2960 3120 3552 3848 4440 4810 5772 5920 6240 7215 7696 8880 9620 11544 14430 15392 17760 19240 23088 28860 38480 46176 57720 76960 115440 230880
- Sum of all divisors σ(n): 804384
- Sum of proper divisors (its aliquot sum) s(n): 573504
- 230880 is an abundant number, because the sum of its proper divisors (573504) is greater than itself. Its abundance is 342624
Bases of 230880
- Binary: 1110000101111000002
- Hexadecimal: 0x385E0
- Base-36: 4Y5C
Squares and roots of 230880
- 230880 squared (2308802) is 53305574400
- 230880 cubed (2308803) is 12307191017472000
-
The
square root of 230880 is 480.4997398543 -
The
cube root of 230880 is 61.3472978075
Scales and comparisons
How big is 230880?- 230,880 seconds is equal to 2 days, 16 hours, 8 minutes.
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To count from 1 to 230,880 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 230880 cubic inches would be around 5.1 feet tall.
Recreational maths with 230880
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The information we have on file for 230880 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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