# 17280

## 17,280 is an even composite number composed of three prime numbers multiplied together.

What does the number 17280 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.

17280 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 17280:

### 27 × 33 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 17280 from the Numbermatics database.

### Names of 17280

• Cardinal: 17280 can be written as Seventeen thousand, two hundred eighty.

### Scientific notation

• Scientific notation: 1.728 × 104

### Factors of 17280

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 17280

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 61200
• Sum of proper divisors (its aliquot sum) s(n): 43920
• 17280 is an abundant number, because the sum of its proper divisors (43920) is greater than itself. Its abundance is 26640

### Bases of 17280

• Binary: 1000011100000002
• Base-36: DC0

### Squares and roots of 17280

• 17280 squared (172802) is 298598400
• 17280 cubed (172803) is 5159780352000
• The square root of 17280 is 131.4534138011
• The cube root of 17280 is 25.8532162803

### Scales and comparisons

How big is 17280?
• 17,280 seconds is equal to 4 hours, 48 minutes.
• To count from 1 to 17,280 would take you about four 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 17280 cubic inches would be around 2.2 feet tall.

### Recreational maths with 17280

• 17280 backwards is 08271
• 17280 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 17280's digits is 18
• More coming soon!

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