45720

45,720 is an even composite number composed of four prime numbers multiplied together.

What does the number 45720 look like?

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

45720 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 45720:

2³ × 3² × 5 × 127

(2 × 2 × 2 × 3 × 3 × 5 × 127)

See below for interesting mathematical facts about the number 45720 from the Numbermatics database.

Names of 45720

Cardinal: 45720 can be written as Forty-five thousand, seven hundred twenty.

Scientific notation

Scientific notation: 4.572 × 10⁴

Factors of 45720

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 137

Divisors of 45720

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 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5715 7620 9144 11430 15240 22860 45720
Sum of all divisors σ(n): 149760
Sum of proper divisors (its aliquot sum) s(n): 104040
45720 is an abundant number, because the sum of its proper divisors (104040) is greater than itself. Its abundance is 58320

Bases of 45720

Binary: 1011001010011000₂
Hexadecimal: 0xB298
Base-36: ZA0

Squares and roots of 45720

45720 squared (45720²) is 2090318400
45720 cubed (45720³) is 95569357248000
The square root of 45720 is 213.8223561745
The cube root of 45720 is 35.7576311811

Scales and comparisons

How big is 45720?

45,720 seconds is equal to 12 hours, 42 minutes.
To count from 1 to 45,720 would take you about twelve 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 45720 cubic inches would be around 3 feet tall.

Recreational maths with 45720

45720 backwards is 02754
45720 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 45720's digits is 18
More coming soon!

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The information we have on file for 45720 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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