53640

53,640 is an even composite number composed of four prime numbers multiplied together.

What does the number 53640 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

53640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 53640:

2³ × 3² × 5 × 149

(2 × 2 × 2 × 3 × 3 × 5 × 149)

See below for interesting mathematical facts about the number 53640 from the Numbermatics database.

Names of 53640

Cardinal: 53640 can be written as Fifty-three thousand, six hundred forty.

Scientific notation

Scientific notation: 5.364 × 10⁴

Factors of 53640

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 159

Divisors of 53640

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2980 3576 4470 5364 5960 6705 8940 10728 13410 17880 26820 53640
Sum of all divisors σ(n): 175500
Sum of proper divisors (its aliquot sum) s(n): 121860
53640 is an abundant number, because the sum of its proper divisors (121860) is greater than itself. Its abundance is 68220

Bases of 53640

Binary: 1101000110001000₂
Hexadecimal: 0xD188
Base-36: 15E0

Squares and roots of 53640

53640 squared (53640²) is 2877249600
53640 cubed (53640³) is 154335668544000
The square root of 53640 is 231.6031087875
The cube root of 53640 is 37.7134494109

Scales and comparisons

How big is 53640?

53,640 seconds is equal to 14 hours, 54 minutes.
To count from 1 to 53,640 would take you about fourteen hours.

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 53640 cubic inches would be around 3.1 feet tall.

Recreational maths with 53640

53640 backwards is 04635
53640 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 53640's digits is 18
More coming soon!

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The information we have on file for 53640 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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