# 16800

## 16,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 16800 look like?

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

16800 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 16800:

### 25 × 3 × 52 × 7

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 16800 from the Numbermatics database.

### Names of 16800

• Cardinal: 16800 can be written as Sixteen thousand, eight hundred.

### Scientific notation

• Scientific notation: 1.68 × 104

### Factors of 16800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 17

### Divisors of 16800

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 62496
• Sum of proper divisors (its aliquot sum) s(n): 45696
• 16800 is an abundant number, because the sum of its proper divisors (45696) is greater than itself. Its abundance is 28896

### Bases of 16800

• Binary: 1000001101000002
• Base-36: CYO

### Squares and roots of 16800

• 16800 squared (168002) is 282240000
• 16800 cubed (168003) is 4741632000000
• The square root of 16800 is 129.6148139681
• The cube root of 16800 is 25.6115832997

### Scales and comparisons

How big is 16800?
• 16,800 seconds is equal to 4 hours, 40 minutes.
• To count from 1 to 16,800 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 16800 cubic inches would be around 2.1 feet tall.

### Recreational maths with 16800

• 16800 backwards is 00861
• 16800 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 16800's digits is 15
• More coming soon!