# 21648

## 21,648 is an even composite number composed of four prime numbers multiplied together.

What does the number 21648 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

21648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 21648:

### 24 × 3 × 11 × 41

(2 × 2 × 2 × 2 × 3 × 11 × 41)

See below for interesting mathematical facts about the number 21648 from the Numbermatics database.

### Names of 21648

• Cardinal: 21648 can be written as Twenty-one thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 2.1648 × 104

### Factors of 21648

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 57

### Divisors of 21648

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 62496
• Sum of proper divisors (its aliquot sum) s(n): 40848
• 21648 is an abundant number, because the sum of its proper divisors (40848) is greater than itself. Its abundance is 19200

### Bases of 21648

• Binary: 1010100100100002
• Base-36: GPC

### Squares and roots of 21648

• 21648 squared (216482) is 468635904
• 21648 cubed (216483) is 10145030049792
• The square root of 21648 is 147.1325932619
• The cube root of 21648 is 27.8701470231

### Scales and comparisons

How big is 21648?
• 21,648 seconds is equal to 6 hours, 48 seconds.
• To count from 1 to 21,648 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 21648 cubic inches would be around 2.3 feet tall.

### Recreational maths with 21648

• 21648 backwards is 84612
• The number of decimal digits it has is: 5
• The sum of 21648's digits is 21
• More coming soon!