27968

27,968 is an even composite number composed of three prime numbers multiplied together.

What does the number 27968 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

27968 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 27968:

2⁶ × 19 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 19 × 23)

See below for interesting mathematical facts about the number 27968 from the Numbermatics database.

Names of 27968

Cardinal: 27968 can be written as Twenty-seven thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 2.7968 × 10⁴

Factors of 27968

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 44

Divisors of 27968

Number of divisors d(n): 28
Complete list of divisors:
1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 304 368 437 608 736 874 1216 1472 1748 3496 6992 13984 27968
Sum of all divisors σ(n): 60960
Sum of proper divisors (its aliquot sum) s(n): 32992
27968 is an abundant number, because the sum of its proper divisors (32992) is greater than itself. Its abundance is 5024

Bases of 27968

Binary: 110110101000000₂
Hexadecimal: 0x6D40
Base-36: LKW

Squares and roots of 27968

27968 squared (27968²) is 782209024
27968 cubed (27968³) is 21876821983232
The square root of 27968 is 167.2363596829
The cube root of 27968 is 30.3543173511

Scales and comparisons

How big is 27968?

27,968 seconds is equal to 7 hours, 46 minutes, 8 seconds.
To count from 1 to 27,968 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 27968 cubic inches would be around 2.5 feet tall.

Recreational maths with 27968

27968 backwards is 86972
27968 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 27968's digits is 32
More coming soon!

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The information we have on file for 27968 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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