84960

84,960 is an even composite number composed of four prime numbers multiplied together.

What does the number 84960 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

84960 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 84960:

2⁵ × 3² × 5 × 59

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 59)

See below for interesting mathematical facts about the number 84960 from the Numbermatics database.

Names of 84960

Cardinal: 84960 can be written as Eighty-four thousand, nine hundred sixty.

Scientific notation

Scientific notation: 8.496 × 10⁴

Factors of 84960

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 69

Divisors of 84960

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1062 1180 1416 1440 1770 1888 2124 2360 2655 2832 3540 4248 4720 5310 5664 7080 8496 9440 10620 14160 16992 21240 28320 42480 84960
Sum of all divisors σ(n): 294840
Sum of proper divisors (its aliquot sum) s(n): 209880
84960 is an abundant number, because the sum of its proper divisors (209880) is greater than itself. Its abundance is 124920

Bases of 84960

Binary: 10100101111100000₂
Hexadecimal: 0x14BE0
Base-36: 1TK0

Squares and roots of 84960

84960 squared (84960²) is 7218201600
84960 cubed (84960³) is 613258407936000
The square root of 84960 is 291.4789872357
The cube root of 84960 is 43.9613986515

Scales and comparisons

How big is 84960?

84,960 seconds is equal to 23 hours, 36 minutes.
To count from 1 to 84,960 would take you about twenty-three 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 84960 cubic inches would be around 3.7 feet tall.

Recreational maths with 84960

84960 backwards is 06948
The number of decimal digits it has is: 5
The sum of 84960's digits is 27
More coming soon!

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The information we have on file for 84960 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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