# 23280

## 23,280 is an even composite number composed of four prime numbers multiplied together.

What does the number 23280 look like?

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

23280 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 23280:

### 24 × 3 × 5 × 97

(2 × 2 × 2 × 2 × 3 × 5 × 97)

See below for interesting mathematical facts about the number 23280 from the Numbermatics database.

### Names of 23280

• Cardinal: 23280 can be written as Twenty-three thousand, two hundred eighty.

### Scientific notation

• Scientific notation: 2.328 × 104

### Factors of 23280

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 107

### Divisors of 23280

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 72912
• Sum of proper divisors (its aliquot sum) s(n): 49632
• 23280 is an abundant number, because the sum of its proper divisors (49632) is greater than itself. Its abundance is 26352

### Bases of 23280

• Binary: 1011010111100002
• Base-36: HYO

### Squares and roots of 23280

• 23280 squared (232802) is 541958400
• 23280 cubed (232803) is 12616791552000
• The square root of 23280 is 152.5778489821
• The cube root of 23280 is 28.5536079349

### Scales and comparisons

How big is 23280?
• 23,280 seconds is equal to 6 hours, 28 minutes.
• To count from 1 to 23,280 would take you about six 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 23280 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23280

• 23280 backwards is 08232
• 23280 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 23280's digits is 15
• More coming soon!

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The information we have on file for 23280 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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