# 1048576

## 1,048,576 is an even composite number. It is composed of a single prime number multiplied by itself nineteen times.

What does the number 1048576 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 21 divisors.

1048576 is an even composite number. It is composed of one distinct prime number multiplied by itself nineteen times. It has a total of twenty-one divisors.

## Prime factorization of 1048576:

### 220

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

See below for interesting mathematical facts about the number 1048576 from the Numbermatics database.

### Names of 1048576

• Cardinal: 1048576 can be written as One million, forty-eight thousand, five hundred seventy-six.

### Scientific notation

• Scientific notation: 1.048576 × 106

### Factors of 1048576

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2

### Divisors of 1048576

• Number of divisors d(n): 21
• Complete list of divisors:
• Sum of all divisors σ(n): 2097151
• Sum of proper divisors (its aliquot sum) s(n): 1048575
• 1048576 is a deficient number, because the sum of its proper divisors (1048575) is less than itself. Its deficiency is 1

### Bases of 1048576

• Binary: 1000000000000000000002
• Base-36: MH34

### Squares and roots of 1048576

• 1048576 squared (10485762) is 1099511627776
• 1048576 cubed (10485763) is 1152921504606846976
• 1048576 is a perfect square number. Its square root is 1024
• The cube root of 1048576 is 101.5936673259

### Scales and comparisons

How big is 1048576?
• 1,048,576 seconds is equal to 1 week, 5 days, 3 hours, 16 minutes, 16 seconds.
• To count from 1 to 1,048,576 would take you about 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 1048576 cubic inches would be around 8.5 feet tall.

### Recreational maths with 1048576

• 1048576 backwards is 6758401
• The number of decimal digits it has is: 7
• The sum of 1048576's digits is 31
• More coming soon!