54240

54,240 is an even composite number composed of four prime numbers multiplied together.

What does the number 54240 look like?

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

54240 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 54240:

2⁵ × 3 × 5 × 113

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 113)

See below for interesting mathematical facts about the number 54240 from the Numbermatics database.

Names of 54240

Cardinal: 54240 can be written as Fifty-four thousand, two hundred forty.

Scientific notation

Scientific notation: 5.424 × 10⁴

Factors of 54240

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 123

Divisors of 54240

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 10848 13560 18080 27120 54240
Sum of all divisors σ(n): 172368
Sum of proper divisors (its aliquot sum) s(n): 118128
54240 is an abundant number, because the sum of its proper divisors (118128) is greater than itself. Its abundance is 63888

Bases of 54240

Binary: 1101001111100000₂
Hexadecimal: 0xD3E0
Base-36: 15UO

Squares and roots of 54240

54240 squared (54240²) is 2941977600
54240 cubed (54240³) is 159572865024000
The square root of 54240 is 232.8948260481
The cube root of 54240 is 37.8535452345

Scales and comparisons

How big is 54240?

54,240 seconds is equal to 15 hours, 4 minutes.
To count from 1 to 54,240 would take you about fifteen 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 54240 cubic inches would be around 3.2 feet tall.

Recreational maths with 54240

54240 backwards is 04245
54240 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 54240's digits is 15
More coming soon!

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The information we have on file for 54240 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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