# 20352

## 20,352 is an even composite number composed of three prime numbers multiplied together.

What does the number 20352 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

20352 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 20352:

### 27 × 3 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 53)

See below for interesting mathematical facts about the number 20352 from the Numbermatics database.

### Names of 20352

• Cardinal: 20352 can be written as Twenty thousand, three hundred fifty-two.

### Scientific notation

• Scientific notation: 2.0352 × 104

### Factors of 20352

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 58

### Divisors of 20352

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 55080
• Sum of proper divisors (its aliquot sum) s(n): 34728
• 20352 is an abundant number, because the sum of its proper divisors (34728) is greater than itself. Its abundance is 14376

### Bases of 20352

• Binary: 1001111100000002
• Base-36: FPC

### Squares and roots of 20352

• 20352 squared (203522) is 414203904
• 20352 cubed (203523) is 8429877854208
• The square root of 20352 is 142.6604360011
• The cube root of 20352 is 27.3024967863

### Scales and comparisons

How big is 20352?
• 20,352 seconds is equal to 5 hours, 39 minutes, 12 seconds.
• To count from 1 to 20,352 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 20352 cubic inches would be around 2.3 feet tall.

### Recreational maths with 20352

• 20352 backwards is 25302
• 20352 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 20352's digits is 12
• More coming soon!