# 20828

## 20,828 is an even composite number composed of three prime numbers multiplied together.

What does the number 20828 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

20828 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 20828:

### 22 × 41 × 127

(2 × 2 × 41 × 127)

See below for interesting mathematical facts about the number 20828 from the Numbermatics database.

### Names of 20828

• Cardinal: 20828 can be written as Twenty thousand, eight hundred twenty-eight.

### Scientific notation

• Scientific notation: 2.0828 × 104

### Factors of 20828

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 170

### Divisors of 20828

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 37632
• Sum of proper divisors (its aliquot sum) s(n): 16804
• 20828 is a deficient number, because the sum of its proper divisors (16804) is less than itself. Its deficiency is 4024

### Bases of 20828

• Binary: 1010001010111002
• Base-36: G2K

### Squares and roots of 20828

• 20828 squared (208282) is 433805584
• 20828 cubed (208283) is 9035302703552
• The square root of 20828 is 144.3190909063
• The cube root of 20828 is 27.5137121701

### Scales and comparisons

How big is 20828?
• 20,828 seconds is equal to 5 hours, 47 minutes, 8 seconds.
• To count from 1 to 20,828 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 20828 cubic inches would be around 2.3 feet tall.

### Recreational maths with 20828

• 20828 backwards is 82802
• The number of decimal digits it has is: 5
• The sum of 20828's digits is 20
• More coming soon!