65968

65,968 is an even composite number composed of four prime numbers multiplied together.

What does the number 65968 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

65968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 65968:

2⁴ × 7 × 19 × 31

(2 × 2 × 2 × 2 × 7 × 19 × 31)

See below for interesting mathematical facts about the number 65968 from the Numbermatics database.

Names of 65968

Cardinal: 65968 can be written as Sixty-five thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 6.5968 × 10⁴

Factors of 65968

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 59

Divisors of 65968

Number of divisors d(n): 40
Complete list of divisors:
1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1736 2128 2356 3472 4123 4712 8246 9424 16492 32984 65968
Sum of all divisors σ(n): 158720
Sum of proper divisors (its aliquot sum) s(n): 92752
65968 is an abundant number, because the sum of its proper divisors (92752) is greater than itself. Its abundance is 26784

Bases of 65968

Binary: 10000000110110000₂
Hexadecimal: 0x101B0
Base-36: 1EWG

Squares and roots of 65968

65968 squared (65968²) is 4351777024
65968 cubed (65968³) is 287078026719232
The square root of 65968 is 256.8423641069
The cube root of 65968 is 40.4058678533

Scales and comparisons

How big is 65968?

65,968 seconds is equal to 18 hours, 19 minutes, 28 seconds.
To count from 1 to 65,968 would take you about eighteen 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 65968 cubic inches would be around 3.4 feet tall.

Recreational maths with 65968

65968 backwards is 86956
The number of decimal digits it has is: 5
The sum of 65968's digits is 34
More coming soon!

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The information we have on file for 65968 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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