# 13688

## 13,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 13688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

13688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 13688:

### 23 × 29 × 59

(2 × 2 × 2 × 29 × 59)

See below for interesting mathematical facts about the number 13688 from the Numbermatics database.

### Names of 13688

• Cardinal: 13688 can be written as Thirteen thousand, six hundred eighty-eight.

### Scientific notation

• Scientific notation: 1.3688 × 104

### Factors of 13688

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 90

### Divisors of 13688

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 27000
• Sum of proper divisors (its aliquot sum) s(n): 13312
• 13688 is a deficient number, because the sum of its proper divisors (13312) is less than itself. Its deficiency is 376

### Bases of 13688

• Binary: 110101011110002
• Base-36: AK8

### Squares and roots of 13688

• 13688 squared (136882) is 187361344
• 13688 cubed (136883) is 2564602076672
• The square root of 13688 is 116.9957264177
• The cube root of 13688 is 23.9210367817

### Scales and comparisons

How big is 13688?
• 13,688 seconds is equal to 3 hours, 48 minutes, 8 seconds.
• To count from 1 to 13,688 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 13688 cubic inches would be around 2 feet tall.

### Recreational maths with 13688

• 13688 backwards is 88631
• The number of decimal digits it has is: 5
• The sum of 13688's digits is 26
• More coming soon!

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