# 12628

## 12,628 is an even composite number composed of four prime numbers multiplied together.

What does the number 12628 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

12628 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 12628:

### 22 × 7 × 11 × 41

(2 × 2 × 7 × 11 × 41)

See below for interesting mathematical facts about the number 12628 from the Numbermatics database.

### Names of 12628

• Cardinal: 12628 can be written as Twelve thousand, six hundred twenty-eight.

### Scientific notation

• Scientific notation: 1.2628 × 104

### Factors of 12628

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 61

### Divisors of 12628

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 28224
• Sum of proper divisors (its aliquot sum) s(n): 15596
• 12628 is an abundant number, because the sum of its proper divisors (15596) is greater than itself. Its abundance is 2968

### Bases of 12628

• Binary: 110001010101002
• Base-36: 9QS

### Squares and roots of 12628

• 12628 squared (126282) is 159466384
• 12628 cubed (126283) is 2013741497152
• The square root of 12628 is 112.3743743031
• The cube root of 12628 is 23.2868917531

### Scales and comparisons

How big is 12628?
• 12,628 seconds is equal to 3 hours, 30 minutes, 28 seconds.
• To count from 1 to 12,628 would take you about three 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 12628 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12628

• 12628 backwards is 82621
• The number of decimal digits it has is: 5
• The sum of 12628's digits is 19
• More coming soon!