# 16380

## 16,380 is an even composite number composed of five prime numbers multiplied together.

What does the number 16380 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 72 divisors.

16380 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 16380:

### 22 × 32 × 5 × 7 × 13

(2 × 2 × 3 × 3 × 5 × 7 × 13)

See below for interesting mathematical facts about the number 16380 from the Numbermatics database.

### Names of 16380

• Cardinal: 16380 can be written as Sixteen thousand, three hundred eighty.

### Scientific notation

• Scientific notation: 1.638 × 104

### Factors of 16380

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 30

### Divisors of 16380

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 61152
• Sum of proper divisors (its aliquot sum) s(n): 44772
• 16380 is an abundant number, because the sum of its proper divisors (44772) is greater than itself. Its abundance is 28392

### Bases of 16380

• Binary: 111111111111002
• Base-36: CN0

### Squares and roots of 16380

• 16380 squared (163802) is 268304400
• 16380 cubed (163803) is 4394826072000
• The square root of 16380 is 127.9843740463
• The cube root of 16380 is 25.3963497349

### Scales and comparisons

How big is 16380?
• 16,380 seconds is equal to 4 hours, 33 minutes.
• To count from 1 to 16,380 would take you about four 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 16380 cubic inches would be around 2.1 feet tall.

### Recreational maths with 16380

• 16380 backwards is 08361
• 16380 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 16380's digits is 18
• More coming soon!