# 46080

## 46,080 is an even composite number composed of three prime numbers multiplied together.

What does the number 46080 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 66 divisors.

46080 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-six divisors.

## Prime factorization of 46080:

### 210 × 32 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 46080 from the Numbermatics database.

### Names of 46080

• Cardinal: 46080 can be written as Forty-six thousand and eighty.

### Scientific notation

• Scientific notation: 4.608 × 104

### Factors of 46080

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10

### Divisors of 46080

• Number of divisors d(n): 66
• Complete list of divisors:
• Sum of all divisors σ(n): 159666
• Sum of proper divisors (its aliquot sum) s(n): 113586
• 46080 is an abundant number, because the sum of its proper divisors (113586) is greater than itself. Its abundance is 67506

### Bases of 46080

• Binary: 10110100000000002
• Base-36: ZK0

### Squares and roots of 46080

• 46080 squared (460802) is 2123366400
• 46080 cubed (460803) is 97844723712000
• The square root of 46080 is 214.6625258399
• The cube root of 46080 is 35.8512379725

### Scales and comparisons

How big is 46080?
• 46,080 seconds is equal to 12 hours, 48 minutes.
• To count from 1 to 46,080 would take you about twelve 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 46080 cubic inches would be around 3 feet tall.

### Recreational maths with 46080

• 46080 backwards is 08064
• 46080 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 46080's digits is 18
• More coming soon!