# 18816

## 18,816 is an even composite number composed of three prime numbers multiplied together.

What does the number 18816 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

18816 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 18816:

### 27 × 3 × 72

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 18816 from the Numbermatics database.

### Names of 18816

• Cardinal: 18816 can be written as Eighteen thousand, eight hundred sixteen.

### Scientific notation

• Scientific notation: 1.8816 × 104

### Factors of 18816

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 18816

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 58140
• Sum of proper divisors (its aliquot sum) s(n): 39324
• 18816 is an abundant number, because the sum of its proper divisors (39324) is greater than itself. Its abundance is 20508

### Bases of 18816

• Binary: 1001001100000002
• Base-36: EIO

### Squares and roots of 18816

• 18816 squared (188162) is 354041856
• 18816 cubed (188163) is 6661651562496
• The square root of 18816 is 137.1714255957
• The cube root of 18816 is 26.5975990449

### Scales and comparisons

How big is 18816?
• 18,816 seconds is equal to 5 hours, 13 minutes, 36 seconds.
• To count from 1 to 18,816 would take you about five 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 18816 cubic inches would be around 2.2 feet tall.

### Recreational maths with 18816

• 18816 backwards is 61881
• 18816 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 18816's digits is 24
• More coming soon!