# 13488

## 13,488 is an even composite number composed of three prime numbers multiplied together.

What does the number 13488 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

13488 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 13488:

### 24 × 3 × 281

(2 × 2 × 2 × 2 × 3 × 281)

See below for interesting mathematical facts about the number 13488 from the Numbermatics database.

### Names of 13488

• Cardinal: 13488 can be written as Thirteen thousand, four hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.3488 × 104

### Factors of 13488

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 286

### Divisors of 13488

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 34968
• Sum of proper divisors (its aliquot sum) s(n): 21480
• 13488 is an abundant number, because the sum of its proper divisors (21480) is greater than itself. Its abundance is 7992

### Bases of 13488

• Binary: 110100101100002
• Base-36: AEO

### Squares and roots of 13488

• 13488 squared (134882) is 181926144
• 13488 cubed (134883) is 2453819830272
• The square root of 13488 is 116.1378491277
• The cube root of 13488 is 23.8039585723

### Scales and comparisons

How big is 13488?
• 13,488 seconds is equal to 3 hours, 44 minutes, 48 seconds.
• To count from 1 to 13,488 would take you about 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 13488 cubic inches would be around 2 feet tall.

### Recreational maths with 13488

• 13488 backwards is 88431
• 13488 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13488's digits is 24
• More coming soon!