# 427680

## 427,680 is an even composite number composed of four prime numbers multiplied together.

What does the number 427680 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 144 divisors.

427680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.

## Prime factorization of 427680:

### 25 × 35 × 5 × 11

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

See below for interesting mathematical facts about the number 427680 from the Numbermatics database.

### Names of 427680

• Cardinal: 427680 can be written as Four hundred twenty-seven thousand, six hundred eighty.

### Scientific notation

• Scientific notation: 4.2768 × 105

### Factors of 427680

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 21

### Divisors of 427680

• Number of divisors d(n): 144
• Complete list of divisors:
• Sum of all divisors σ(n): 1651104
• Sum of proper divisors (its aliquot sum) s(n): 1223424
• 427680 is an abundant number, because the sum of its proper divisors (1223424) is greater than itself. Its abundance is 795744

### Bases of 427680

• Binary: 11010000110101000002
• Base-36: 9600

### Squares and roots of 427680

• 427680 squared (4276802) is 182910182400
• 427680 cubed (4276803) is 78227026808832000
• The square root of 427680 is 653.9724764851
• The cube root of 427680 is 75.3424341387

### Scales and comparisons

How big is 427680?
• 427,680 seconds is equal to 4 days, 22 hours, 48 minutes.
• To count from 1 to 427,680 would take you about four 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 427680 cubic inches would be around 6.3 feet tall.

### Recreational maths with 427680

• 427680 backwards is 086724
• 427680 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 427680's digits is 27
• More coming soon!