27680

27,680 is an even composite number composed of three prime numbers multiplied together.

What does the number 27680 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

27680 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 27680:

2⁵ × 5 × 173

(2 × 2 × 2 × 2 × 2 × 5 × 173)

See below for interesting mathematical facts about the number 27680 from the Numbermatics database.

Names of 27680

Cardinal: 27680 can be written as Twenty-seven thousand, six hundred eighty.

Scientific notation

Scientific notation: 2.768 × 10⁴

Factors of 27680

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 180

Divisors of 27680

Number of divisors d(n): 24
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 80 160 173 346 692 865 1384 1730 2768 3460 5536 6920 13840 27680
Sum of all divisors σ(n): 65772
Sum of proper divisors (its aliquot sum) s(n): 38092
27680 is an abundant number, because the sum of its proper divisors (38092) is greater than itself. Its abundance is 10412

Bases of 27680

Binary: 110110000100000₂
Hexadecimal: 0x6C20
Base-36: LCW

Squares and roots of 27680

27680 squared (27680²) is 766182400
27680 cubed (27680³) is 21207928832000
The square root of 27680 is 166.3730747447
The cube root of 27680 is 30.2497666353

Scales and comparisons

How big is 27680?

27,680 seconds is equal to 7 hours, 41 minutes, 20 seconds.
To count from 1 to 27,680 would take you about seven 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 27680 cubic inches would be around 2.5 feet tall.

Recreational maths with 27680

27680 backwards is 08672
The number of decimal digits it has is: 5
The sum of 27680's digits is 23
More coming soon!

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The information we have on file for 27680 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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