# 4096000

## 4,096,000 is an even composite number composed of two prime numbers multiplied together.

What does the number 4096000 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 64 divisors.

4096000 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 4096000:

### 215 × 53

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

See below for interesting mathematical facts about the number 4096000 from the Numbermatics database.

### Names of 4096000

• Cardinal: 4096000 can be written as Four million, ninety-six thousand.

### Scientific notation

• Scientific notation: 4.096 × 106

### Factors of 4096000

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 7

### Divisors of 4096000

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 10223460
• Sum of proper divisors (its aliquot sum) s(n): 6127460
• 4096000 is an abundant number, because the sum of its proper divisors (6127460) is greater than itself. Its abundance is 2031460

### Bases of 4096000

• Binary: 11111010000000000000002
• Base-36: 2FSHS

### Squares and roots of 4096000

• 4096000 squared (40960002) is 16777216000000
• 4096000 cubed (40960003) is 68719476736000000000
• The square root of 4096000 is 2023.8577025077
• 4096000 is a perfect cube number. Its cube root is 160

### Scales and comparisons

How big is 4096000?
• 4,096,000 seconds is equal to 6 weeks, 5 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 4,096,000 would take you about ten 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 4096000 cubic inches would be around 13.3 feet tall.

### Recreational maths with 4096000

• 4096000 backwards is 0006904
• The number of decimal digits it has is: 7
• The sum of 4096000's digits is 19
• More coming soon!