213825360
213,825,360 is an even composite number composed of five prime numbers multiplied together.
What does the number 213825360 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
213825360 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 213825360:
24 × 3 × 5 × 7 × 127277
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 127277)See below for interesting mathematical facts about the number 213825360 from the Numbermatics database.
Names of 213825360
- Cardinal: 213825360 can be written as Two hundred thirteen million, eight hundred twenty-five thousand, three hundred sixty.
Scientific notation
- Scientific notation: 2.1382536 × 108
Factors of 213825360
Divisors of 213825360
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 127277 254554 381831 509108 636385 763662 890939 1018216 1272770 1527324 1781878 1909155 2036432 2545540 2672817 3054648 3563756 3818310 4454695 5091080 5345634 6109296 7127512 7636620 8909390 10182160 10691268 13364085 14255024 15273240 17818780 21382536 26728170 30546480 35637560 42765072 53456340 71275120 106912680 213825360
- Sum of all divisors σ(n): 757558656
- Sum of proper divisors (its aliquot sum) s(n): 543733296
- 213825360 is an abundant number, because the sum of its proper divisors (543733296) is greater than itself. Its abundance is 329907936
Bases of 213825360
- Binary: 11001011111010110111010100002
- Hexadecimal: 0xCBEB750
- Base-36: 3JB0PC
Squares and roots of 213825360
- 213825360 squared (2138253602) is 45721284579129600
- 213825360 cubed (2138253603) is 9776370134794835206656000
-
The
square root of 213825360 is 14622.7685477139 -
The
cube root of 213825360 is 597.9796490505
Scales and comparisons
How big is 213825360?- 213,825,360 seconds is equal to 6 years, 41 weeks, 3 days, 19 hours, 56 minutes.
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To count from 1 to 213,825,360 would take you about ten 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 213825360 cubic inches would be around 49.8 feet tall.
Recreational maths with 213825360
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