542400
542,400 is an even composite number composed of four prime numbers multiplied together.
What does the number 542400 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.
542400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 542400:
26 × 3 × 52 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 113)See below for interesting mathematical facts about the number 542400 from the Numbermatics database.
Names of 542400
- Cardinal: 542400 can be written as Five hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 5.424 × 105
Factors of 542400
Divisors of 542400
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 113 120 150 160 192 200 226 240 300 320 339 400 452 480 565 600 678 800 904 960 1130 1200 1356 1600 1695 1808 2260 2400 2712 2825 3390 3616 4520 4800 5424 5650 6780 7232 8475 9040 10848 11300 13560 16950 18080 21696 22600 27120 33900 36160 45200 54240 67800 90400 108480 135600 180800 271200 542400
- Sum of all divisors σ(n): 1795272
- Sum of proper divisors (its aliquot sum) s(n): 1252872
- 542400 is an abundant number, because the sum of its proper divisors (1252872) is greater than itself. Its abundance is 710472
Bases of 542400
- Binary: 100001000110110000002
- Hexadecimal: 0x846C0
- Base-36: BMIO
Squares and roots of 542400
- 542400 squared (5424002) is 294197760000
- 542400 cubed (5424003) is 159572865024000000
-
The
square root of 542400 is 736.4781055809 -
The
cube root of 542400 is 81.5529909939
Scales and comparisons
How big is 542400?- 542,400 seconds is equal to 6 days, 6 hours, 40 minutes.
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To count from 1 to 542,400 would take you about six 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 542400 cubic inches would be around 6.8 feet tall.
Recreational maths with 542400
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The information we have on file for 542400 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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