# 13258080

## 13,258,080 is an even composite number composed of five prime numbers multiplied together.

What does the number 13258080 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.

13258080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.

## Prime factorization of 13258080:

### 25 × 35 × 5 × 11 × 31

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 31)

See below for interesting mathematical facts about the number 13258080 from the Numbermatics database.

### Names of 13258080

• Cardinal: 13258080 can be written as Thirteen million, two hundred fifty-eight thousand and eighty.

### Scientific notation

• Scientific notation: 1.325808 × 107

### Factors of 13258080

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 52

### Divisors of 13258080

• Number of divisors d(n): 288
• Complete list of divisors:
• Sum of all divisors σ(n): 52835328
• Sum of proper divisors (its aliquot sum) s(n): 39577248
• 13258080 is an abundant number, because the sum of its proper divisors (39577248) is greater than itself. Its abundance is 26319168

### Bases of 13258080

• Binary: 1100101001001101011000002
• Base-36: 7W600

### Squares and roots of 13258080

• 13258080 squared (132580802) is 175776685286400
• 13258080 cubed (132580803) is 2330461355661914112000
• The square root of 13258080 is 3641.1646488453
• The cube root of 13258080 is 236.6792649073

### Scales and comparisons

How big is 13258080?
• 13,258,080 seconds is equal to 21 weeks, 6 days, 10 hours, 48 minutes.
• To count from 1 to 13,258,080 would take you about thirty-two weeks!

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 13258080 cubic inches would be around 19.7 feet tall.

### Recreational maths with 13258080

• 13258080 backwards is 08085231
• 13258080 is a Harshad number.
• The number of decimal digits it has is: 8
• The sum of 13258080's digits is 27
• More coming soon!