# 213648

## 213,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 213648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

213648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 213648:

### 24 × 3 × 4451

(2 × 2 × 2 × 2 × 3 × 4451)

See below for interesting mathematical facts about the number 213648 from the Numbermatics database.

### Names of 213648

• Cardinal: 213648 can be written as Two hundred thirteen thousand, six hundred forty-eight.

### Scientific notation

• Scientific notation: 2.13648 × 105

### Factors of 213648

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 4456

### Divisors of 213648

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 552048
• Sum of proper divisors (its aliquot sum) s(n): 338400
• 213648 is an abundant number, because the sum of its proper divisors (338400) is greater than itself. Its abundance is 124752

### Bases of 213648

• Binary: 1101000010100100002
• Base-36: 4KUO

### Squares and roots of 213648

• 213648 squared (2136482) is 45645467904
• 213648 cubed (2136483) is 9752062926753792
• The square root of 213648 is 462.2207264933
• The cube root of 213648 is 59.7814269529

### Scales and comparisons

How big is 213648?
• 213,648 seconds is equal to 2 days, 11 hours, 20 minutes, 48 seconds.
• To count from 1 to 213,648 would take you about two 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 213648 cubic inches would be around 5 feet tall.

### Recreational maths with 213648

• 213648 backwards is 846312
• 213648 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 213648's digits is 24
• More coming soon!