# 19200

## 19,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 19200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

19200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

## Prime factorization of 19200:

### 28 × 3 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 19200 from the Numbermatics database.

### Names of 19200

• Cardinal: 19200 can be written as Nineteen thousand, two hundred.

### Scientific notation

• Scientific notation: 1.92 × 104

### Factors of 19200

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10

### Divisors of 19200

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 63364
• Sum of proper divisors (its aliquot sum) s(n): 44164
• 19200 is an abundant number, because the sum of its proper divisors (44164) is greater than itself. Its abundance is 24964

### Bases of 19200

• Binary: 1001011000000002
• Base-36: ETC

### Squares and roots of 19200

• 19200 squared (192002) is 368640000
• 19200 cubed (192003) is 7077888000000
• The square root of 19200 is 138.5640646055
• The cube root of 19200 is 26.7773180033

### Scales and comparisons

How big is 19200?
• 19,200 seconds is equal to 5 hours, 20 minutes.
• To count from 1 to 19,200 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 19200 cubic inches would be around 2.2 feet tall.

### Recreational maths with 19200

• 19200 backwards is 00291
• 19200 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 19200's digits is 12
• More coming soon!