# 513216

## 513,216 is an even composite number composed of three prime numbers multiplied together.

What does the number 513216 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 98 divisors.

513216 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of ninety-eight divisors.

## Prime factorization of 513216:

### 26 × 36 × 11

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

See below for interesting mathematical facts about the number 513216 from the Numbermatics database.

### Names of 513216

• Cardinal: 513216 can be written as Five hundred thirteen thousand, two hundred sixteen.

### Scientific notation

• Scientific notation: 5.13216 × 105

### Factors of 513216

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 16

### Divisors of 513216

• Number of divisors d(n): 98
• Complete list of divisors:
• Sum of all divisors σ(n): 1665732
• Sum of proper divisors (its aliquot sum) s(n): 1152516
• 513216 is an abundant number, because the sum of its proper divisors (1152516) is greater than itself. Its abundance is 639300

### Bases of 513216

• Binary: 11111010100110000002
• Base-36: B000

### Squares and roots of 513216

• 513216 squared (5132162) is 263390662656
• 513216 cubed (5132163) is 135176302325661696
• The square root of 513216 is 716.3909547167
• The cube root of 513216 is 80.0632832605

### Scales and comparisons

How big is 513216?
• 513,216 seconds is equal to 5 days, 22 hours, 33 minutes, 36 seconds.
• To count from 1 to 513,216 would take you about five 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 513216 cubic inches would be around 6.7 feet tall.

### Recreational maths with 513216

• 513216 backwards is 612315
• 513216 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 513216's digits is 18
• More coming soon!