# 5120

## 5,120 is an even composite number composed of two prime numbers multiplied together.

What does the number 5120 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 22 divisors.

5120 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-two divisors.

## Prime factorization of 5120:

### 210 × 5

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

See below for interesting mathematical facts about the number 5120 from the Numbermatics database.

### Names of 5120

• Cardinal: 5120 can be written as Five thousand, one hundred twenty.

### Scientific notation

• Scientific notation: 5.12 × 103

### Factors of 5120

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 7

### Divisors of 5120

• Number of divisors d(n): 22
• Complete list of divisors:
• Sum of all divisors σ(n): 12282
• Sum of proper divisors (its aliquot sum) s(n): 7162
• 5120 is an abundant number, because the sum of its proper divisors (7162) is greater than itself. Its abundance is 2042

### Bases of 5120

• Binary: 10100000000002
• Base-36: 3Y8

### Squares and roots of 5120

• 5120 squared (51202) is 26214400
• 5120 cubed (51203) is 134217728000
• The square root of 5120 is 71.5541752801
• The cube root of 5120 is 17.2354775203

### Scales and comparisons

How big is 5120?
• 5,120 seconds is equal to 1 hour, 25 minutes, 20 seconds.
• To count from 1 to 5,120 would take you about twenty-five minutes.

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 5120 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5120

• 5120 backwards is 0215
• 5120 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 5120's digits is 8
• More coming soon!