# 242880

## 242,880 is an even composite number composed of five prime numbers multiplied together.

What does the number 242880 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.

242880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.

## Prime factorization of 242880:

### 26 × 3 × 5 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 23)

See below for interesting mathematical facts about the number 242880 from the Numbermatics database.

### Names of 242880

• Cardinal: 242880 can be written as Two hundred forty-two thousand, eight hundred eighty.

### Scientific notation

• Scientific notation: 2.4288 × 105

### Factors of 242880

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 44

### Divisors of 242880

• Number of divisors d(n): 112
• Complete list of divisors:
• Sum of all divisors σ(n): 877824
• Sum of proper divisors (its aliquot sum) s(n): 634944
• 242880 is an abundant number, because the sum of its proper divisors (634944) is greater than itself. Its abundance is 392064

### Bases of 242880

• Binary: 1110110100110000002
• Base-36: 57EO

### Squares and roots of 242880

• 242880 squared (2428802) is 58990694400
• 242880 cubed (2428803) is 14327659855872000
• The square root of 242880 is 492.8285706003
• The cube root of 242880 is 62.3922409813

### Scales and comparisons

How big is 242880?
• 242,880 seconds is equal to 2 days, 19 hours, 28 minutes.
• To count from 1 to 242,880 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 242880 cubic inches would be around 5.2 feet tall.

### Recreational maths with 242880

• 242880 backwards is 088242
• 242880 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 242880's digits is 24
• More coming soon!