# 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
• Hexadecimal: 0x1A5E00
• 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!

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The information we have on file for 1728000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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