32970

32,970 is an even composite number composed of five prime numbers multiplied together.

What does the number 32970 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 32 divisors.

32970 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 32970:

2 × 3 × 5 × 7 × 157

See below for interesting mathematical facts about the number 32970 from the Numbermatics database.

Names of 32970

Cardinal: 32970 can be written as Thirty-two thousand, nine hundred seventy.

Scientific notation

Scientific notation: 3.297 × 10⁴

Factors of 32970

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 5
Sum of prime factors: 174

Divisors of 32970

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 157 210 314 471 785 942 1099 1570 2198 2355 3297 4710 5495 6594 10990 16485 32970
Sum of all divisors σ(n): 91008
Sum of proper divisors (its aliquot sum) s(n): 58038
32970 is an abundant number, because the sum of its proper divisors (58038) is greater than itself. Its abundance is 25068

Bases of 32970

Binary: 1000000011001010₂
Hexadecimal: 0x80CA
Base-36: PFU

Squares and roots of 32970

32970 squared (32970²) is 1087020900
32970 cubed (32970³) is 35839079073000
The square root of 32970 is 181.5764301885
The cube root of 32970 is 32.0656205521

Scales and comparisons

How big is 32970?

32,970 seconds is equal to 9 hours, 9 minutes, 30 seconds.
To count from 1 to 32,970 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 32970 cubic inches would be around 2.7 feet tall.

Recreational maths with 32970

32970 backwards is 07923
32970 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 32970's digits is 21
More coming soon!

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The information we have on file for 32970 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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