# 13088

## 13,088 is an even composite number composed of two prime numbers multiplied together.

What does the number 13088 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

13088 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 13088:

### 25 × 409

(2 × 2 × 2 × 2 × 2 × 409)

See below for interesting mathematical facts about the number 13088 from the Numbermatics database.

### Names of 13088

• Cardinal: 13088 can be written as Thirteen thousand and eighty-eight.

### Scientific notation

• Scientific notation: 1.3088 × 104

### Factors of 13088

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 411

### Divisors of 13088

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 25830
• Sum of proper divisors (its aliquot sum) s(n): 12742
• 13088 is a deficient number, because the sum of its proper divisors (12742) is less than itself. Its deficiency is 346

### Bases of 13088

• Binary: 110011001000002
• Base-36: A3K

### Squares and roots of 13088

• 13088 squared (130882) is 171295744
• 13088 cubed (130883) is 2241918697472
• The square root of 13088 is 114.4027971687
• The cube root of 13088 is 23.5662833667

### Scales and comparisons

How big is 13088?
• 13,088 seconds is equal to 3 hours, 38 minutes, 8 seconds.
• To count from 1 to 13,088 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 13088 cubic inches would be around 2 feet tall.

### Recreational maths with 13088

• 13088 backwards is 88031
• The number of decimal digits it has is: 5
• The sum of 13088's digits is 20
• More coming soon!