# 20736

## 20,736 is an even composite number composed of two prime numbers multiplied together.

What does the number 20736 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 45 divisors.

20736 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 20736:

### 28 × 34

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

See below for interesting mathematical facts about the number 20736 from the Numbermatics database.

### Names of 20736

• Cardinal: 20736 can be written as Twenty thousand, seven hundred thirty-six.

### Scientific notation

• Scientific notation: 2.0736 × 104

### Factors of 20736

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5

### Divisors of 20736

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 61831
• Sum of proper divisors (its aliquot sum) s(n): 41095
• 20736 is an abundant number, because the sum of its proper divisors (41095) is greater than itself. Its abundance is 20359

### Bases of 20736

• Binary: 1010001000000002
• Base-36: G00

### Squares and roots of 20736

• 20736 squared (207362) is 429981696
• 20736 cubed (207363) is 8916100448256
• 20736 is a perfect square number. Its square root is 144
• The cube root of 20736 is 27.4731418213

### Scales and comparisons

How big is 20736?
• 20,736 seconds is equal to 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 20,736 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 20736 cubic inches would be around 2.3 feet tall.

### Recreational maths with 20736

• 20736 backwards is 63702
• 20736 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 20736's digits is 18
• More coming soon!