# 163680

## 163,680 is an even composite number composed of five prime numbers multiplied together.

What does the number 163680 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.

163680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.

## Prime factorization of 163680:

### 25 × 3 × 5 × 11 × 31

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 31)

See below for interesting mathematical facts about the number 163680 from the Numbermatics database.

### Names of 163680

• Cardinal: 163680 can be written as One hundred sixty-three thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 1.6368 × 105

### Factors of 163680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 52

### Divisors of 163680

• Number of divisors d(n): 96
• Complete list of divisors:
• Sum of all divisors σ(n): 580608
• Sum of proper divisors (its aliquot sum) s(n): 416928
• 163680 is an abundant number, because the sum of its proper divisors (416928) is greater than itself. Its abundance is 253248

### Bases of 163680

• Binary: 1001111111011000002
• Base-36: 3IAO

### Squares and roots of 163680

• 163680 squared (1636802) is 26791142400
• 163680 cubed (1636803) is 4385174188032000
• The square root of 163680 is 404.5738498717
• The cube root of 163680 is 54.7014122429

### Scales and comparisons

How big is 163680?
• 163,680 seconds is equal to 1 day, 21 hours, 28 minutes.
• To count from 1 to 163,680 would take you about twenty-one 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 163680 cubic inches would be around 4.6 feet tall.

### Recreational maths with 163680

• 163680 backwards is 086361
• 163680 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 163680's digits is 24
• More coming soon!