# 8820

## 8,820 is an even composite number composed of four prime numbers multiplied together.

What does the number 8820 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 54 divisors.

8820 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-four divisors.

## Prime factorization of 8820:

### 22 × 32 × 5 × 72

(2 × 2 × 3 × 3 × 5 × 7 × 7)

See below for interesting mathematical facts about the number 8820 from the Numbermatics database.

### Names of 8820

• Cardinal: 8820 can be written as Eight thousand, eight hundred twenty.

### Scientific notation

• Scientific notation: 8.82 × 103

### Factors of 8820

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 17

### Divisors of 8820

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 31122
• Sum of proper divisors (its aliquot sum) s(n): 22302
• 8820 is an abundant number, because the sum of its proper divisors (22302) is greater than itself. Its abundance is 13482

### Bases of 8820

• Binary: 100010011101002
• Base-36: 6T0

### Squares and roots of 8820

• 8820 squared (88202) is 77792400
• 8820 cubed (88203) is 686128968000
• The square root of 8820 is 93.9148550549
• The cube root of 8820 is 20.6612310829

### Scales and comparisons

How big is 8820?
• 8,820 seconds is equal to 2 hours, 27 minutes.
• To count from 1 to 8,820 would take you about two 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 8820 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8820

• 8820 backwards is 0288
• 8820 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8820's digits is 18
• More coming soon!