# 6120

## 6,120 is an even composite number composed of four prime numbers multiplied together.

What does the number 6120 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

6120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 6120:

### 23 × 32 × 5 × 17

(2 × 2 × 2 × 3 × 3 × 5 × 17)

See below for interesting mathematical facts about the number 6120 from the Numbermatics database.

### Names of 6120

• Cardinal: 6120 can be written as Six thousand, one hundred twenty.

### Scientific notation

• Scientific notation: 6.12 × 103

### Factors of 6120

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 27

### Divisors of 6120

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 21060
• Sum of proper divisors (its aliquot sum) s(n): 14940
• 6120 is an abundant number, because the sum of its proper divisors (14940) is greater than itself. Its abundance is 8820

### Bases of 6120

• Binary: 10111111010002
• Base-36: 4Q0

### Squares and roots of 6120

• 6120 squared (61202) is 37454400
• 6120 cubed (61203) is 229220928000
• The square root of 6120 is 78.2304288625
• The cube root of 6120 is 18.2915485475

### Scales and comparisons

How big is 6120?
• 6,120 seconds is equal to 1 hour, 42 minutes.
• To count from 1 to 6,120 would take you about forty-two minutes.

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 6120 cubic inches would be around 1.5 feet tall.

### Recreational maths with 6120

• 6120 backwards is 0216
• 6120 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6120's digits is 9
• More coming soon!