# 19800

## 19,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 19800 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

19800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 19800:

### 23 × 32 × 52 × 11

(2 × 2 × 2 × 3 × 3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 19800 from the Numbermatics database.

### Names of 19800

• Cardinal: 19800 can be written as Nineteen thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.98 × 104

### Factors of 19800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 21

### Divisors of 19800

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 72540
• Sum of proper divisors (its aliquot sum) s(n): 52740
• 19800 is an abundant number, because the sum of its proper divisors (52740) is greater than itself. Its abundance is 32940

### Bases of 19800

• Binary: 1001101010110002
• Base-36: FA0

### Squares and roots of 19800

• 19800 squared (198002) is 392040000
• 19800 cubed (198003) is 7762392000000
• The square root of 19800 is 140.7124727947
• The cube root of 19800 is 27.0533922899

### Scales and comparisons

How big is 19800?
• 19,800 seconds is equal to 5 hours, 30 minutes.
• To count from 1 to 19,800 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 19800 cubic inches would be around 2.3 feet tall.

### Recreational maths with 19800

• 19800 backwards is 00891
• 19800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 19800's digits is 18
• More coming soon!