# 21600

## 21,600 is an even composite number composed of three prime numbers multiplied together.

What does the number 21600 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 72 divisors.

21600 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 21600:

### 25 × 33 × 52

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

See below for interesting mathematical facts about the number 21600 from the Numbermatics database.

### Names of 21600

• Cardinal: 21600 can be written as Twenty-one thousand, six hundred.

### Scientific notation

• Scientific notation: 2.16 × 104

### Factors of 21600

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

### Divisors of 21600

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 78120
• Sum of proper divisors (its aliquot sum) s(n): 56520
• 21600 is an abundant number, because the sum of its proper divisors (56520) is greater than itself. Its abundance is 34920

### Bases of 21600

• Binary: 1010100011000002
• Base-36: GO0

### Squares and roots of 21600

• 21600 squared (216002) is 466560000
• 21600 cubed (216003) is 10077696000000
• The square root of 21600 is 146.9693845669
• The cube root of 21600 is 27.8495330017

### Scales and comparisons

How big is 21600?
• 21,600 seconds is equal to 6 hours.
• To count from 1 to 21,600 would take you about six 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 21600 cubic inches would be around 2.3 feet tall.

### Recreational maths with 21600

• 21600 backwards is 00612
• 21600 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 21600's digits is 9
• More coming soon!