# 813120

## 813,120 is an even composite number composed of five prime numbers multiplied together.

What does the number 813120 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.

813120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.

## Prime factorization of 813120:

### 26 × 3 × 5 × 7 × 112

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11)

See below for interesting mathematical facts about the number 813120 from the Numbermatics database.

### Names of 813120

• Cardinal: 813120 can be written as Eight hundred thirteen thousand, one hundred twenty.

### Scientific notation

• Scientific notation: 8.1312 × 105

### Factors of 813120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 28

### Divisors of 813120

• Number of divisors d(n): 168
• Complete list of divisors:
• Sum of all divisors σ(n): 3243072
• Sum of proper divisors (its aliquot sum) s(n): 2429952
• 813120 is an abundant number, because the sum of its proper divisors (2429952) is greater than itself. Its abundance is 1616832

### Bases of 813120

• Binary: 110001101000010000002
• Base-36: HFEO

### Squares and roots of 813120

• 813120 squared (8131202) is 661164134400
• 813120 cubed (8131203) is 537605780963328000
• The square root of 813120 is 901.7316674045
• The cube root of 813120 is 93.3365078285

### Scales and comparisons

How big is 813120?
• 813,120 seconds is equal to 1 week, 2 days, 9 hours, 52 minutes.
• To count from 1 to 813,120 would take you about two days!

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 813120 cubic inches would be around 7.8 feet tall.

### Recreational maths with 813120

• 813120 backwards is 021318
• 813120 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 813120's digits is 15
• More coming soon!