# 309120

## 309,120 is an even composite number composed of five prime numbers multiplied together.

What does the number 309120 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.

309120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.

## Prime factorization of 309120:

### 27 × 3 × 5 × 7 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 309120 from the Numbermatics database.

### Names of 309120

• Cardinal: 309120 can be written as Three hundred nine thousand, one hundred twenty.

### Scientific notation

• Scientific notation: 3.0912 × 105

### Factors of 309120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 40

### Divisors of 309120

• Number of divisors d(n): 128
• Complete list of divisors:
• Sum of all divisors σ(n): 1175040
• Sum of proper divisors (its aliquot sum) s(n): 865920
• 309120 is an abundant number, because the sum of its proper divisors (865920) is greater than itself. Its abundance is 556800

### Bases of 309120

• Binary: 10010110111100000002
• Base-36: 6MIO

### Squares and roots of 309120

• 309120 squared (3091202) is 95555174400
• 309120 cubed (3091203) is 29538015510528000
• The square root of 309120 is 555.9856113247
• The cube root of 309120 is 67.6148934891

### Scales and comparisons

How big is 309120?
• 309,120 seconds is equal to 3 days, 13 hours, 52 minutes.
• To count from 1 to 309,120 would take you about three 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 309120 cubic inches would be around 5.6 feet tall.

### Recreational maths with 309120

• 309120 backwards is 021903
• 309120 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 309120's digits is 15
• More coming soon!