# 54120

## 54,120 is an even composite number composed of five prime numbers multiplied together.

What does the number 54120 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 64 divisors.

54120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 54120:

### 23 × 3 × 5 × 11 × 41

(2 × 2 × 2 × 3 × 5 × 11 × 41)

See below for interesting mathematical facts about the number 54120 from the Numbermatics database.

### Names of 54120

• Cardinal: 54120 can be written as Fifty-four thousand, one hundred twenty.

### Scientific notation

• Scientific notation: 5.412 × 104

### Factors of 54120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 62

### Divisors of 54120

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 181440
• Sum of proper divisors (its aliquot sum) s(n): 127320
• 54120 is an abundant number, because the sum of its proper divisors (127320) is greater than itself. Its abundance is 73200

### Bases of 54120

• Binary: 11010011011010002
• Base-36: 15RC

### Squares and roots of 54120

• 54120 squared (541202) is 2928974400
• 54120 cubed (541203) is 158516094528000
• The square root of 54120 is 232.6370563775
• The cube root of 54120 is 37.8256090287

### Scales and comparisons

How big is 54120?
• 54,120 seconds is equal to 15 hours, 2 minutes.
• To count from 1 to 54,120 would take you about fifteen hours.

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 54120 cubic inches would be around 3.2 feet tall.

### Recreational maths with 54120

• 54120 backwards is 02145
• 54120 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 54120's digits is 12
• More coming soon!