# 82320

## 82,320 is an even composite number composed of four prime numbers multiplied together.

What does the number 82320 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 80 divisors.

82320 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.

## Prime factorization of 82320:

### 24 × 3 × 5 × 73

(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7)

See below for interesting mathematical facts about the number 82320 from the Numbermatics database.

### Names of 82320

• Cardinal: 82320 can be written as Eighty-two thousand, three hundred twenty.

### Scientific notation

• Scientific notation: 8.232 × 104

### Factors of 82320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 17

### Divisors of 82320

• Number of divisors d(n): 80
• Complete list of divisors:
• Sum of all divisors σ(n): 297600
• Sum of proper divisors (its aliquot sum) s(n): 215280
• 82320 is an abundant number, because the sum of its proper divisors (215280) is greater than itself. Its abundance is 132960

### Bases of 82320

• Binary: 101000001100100002
• Base-36: 1RIO

### Squares and roots of 82320

• 82320 squared (823202) is 6776582400
• 82320 cubed (823203) is 557848263168000
• The square root of 82320 is 286.9146214469
• The cube root of 82320 is 43.5012550833

### Scales and comparisons

How big is 82320?
• 82,320 seconds is equal to 22 hours, 52 minutes.
• To count from 1 to 82,320 would take you about twenty-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 82320 cubic inches would be around 3.6 feet tall.

### Recreational maths with 82320

• 82320 backwards is 02328
• 82320 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 82320's digits is 15
• More coming soon!