32880

32,880 is an even composite number composed of four prime numbers multiplied together.

What does the number 32880 look like?

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

32880 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 32880:

2⁴ × 3 × 5 × 137

(2 × 2 × 2 × 2 × 3 × 5 × 137)

See below for interesting mathematical facts about the number 32880 from the Numbermatics database.

Names of 32880

Cardinal: 32880 can be written as Thirty-two thousand, eight hundred eighty.

Scientific notation

Scientific notation: 3.288 × 10⁴

Factors of 32880

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 147

Divisors of 32880

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1644 2055 2192 2740 3288 4110 5480 6576 8220 10960 16440 32880
Sum of all divisors σ(n): 102672
Sum of proper divisors (its aliquot sum) s(n): 69792
32880 is an abundant number, because the sum of its proper divisors (69792) is greater than itself. Its abundance is 36912

Bases of 32880

Binary: 1000000001110000₂
Hexadecimal: 0x8070
Base-36: PDC

Squares and roots of 32880

32880 squared (32880²) is 1081094400
32880 cubed (32880³) is 35546383872000
The square root of 32880 is 181.3284313063
The cube root of 32880 is 32.0364168743

Scales and comparisons

How big is 32880?

32,880 seconds is equal to 9 hours, 8 minutes.
To count from 1 to 32,880 would take you about nine 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 32880 cubic inches would be around 2.7 feet tall.

Recreational maths with 32880

32880 backwards is 08823
The number of decimal digits it has is: 5
The sum of 32880's digits is 21
More coming soon!

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The information we have on file for 32880 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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