# 1728000

## 1,728,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 1728000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 160 divisors.

1728000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.

## Prime factorization of 1728000:

### 29 × 33 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 1728000 from the Numbermatics database.

### Names of 1728000

• Cardinal: 1728000 can be written as One million, seven hundred twenty-eight thousand.

### Scientific notation

• Scientific notation: 1.728 × 106

### Factors of 1728000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10

### Divisors of 1728000

• Number of divisors d(n): 160
• Complete list of divisors:
• Sum of all divisors σ(n): 6383520
• Sum of proper divisors (its aliquot sum) s(n): 4655520
• 1728000 is an abundant number, because the sum of its proper divisors (4655520) is greater than itself. Its abundance is 2927520

### Bases of 1728000

• Binary: 1101001011110000000002
• Base-36: 111C0

### Squares and roots of 1728000

• 1728000 squared (17280002) is 2985984000000
• 1728000 cubed (17280003) is 5159780352000000000
• The square root of 1728000 is 1314.5341380123
• 1728000 is a perfect cube number. Its cube root is 120

### Scales and comparisons

How big is 1728000?
• 1,728,000 seconds is equal to 2 weeks, 6 days.
• To count from 1 to 1,728,000 would take you about four weeks!

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 1728000 cubic inches would be around 10 feet tall.

### Recreational maths with 1728000

• 1728000 backwards is 0008271
• 1728000 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 1728000's digits is 18
• More coming soon!