# 1982880

## 1,982,880 is an even composite number composed of four prime numbers multiplied together.

What does the number 1982880 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 168 divisors.

1982880 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.

## Prime factorization of 1982880:

### 25 × 36 × 5 × 17

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 17)

See below for interesting mathematical facts about the number 1982880 from the Numbermatics database.

### Names of 1982880

• Cardinal: 1982880 can be written as One million, nine hundred eighty-two thousand, eight hundred eighty.

### Scientific notation

• Scientific notation: 1.98288 × 106

### Factors of 1982880

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 27

### Divisors of 1982880

• Number of divisors d(n): 168
• Complete list of divisors:
• Sum of all divisors σ(n): 7436772
• Sum of proper divisors (its aliquot sum) s(n): 5453892
• 1982880 is an abundant number, because the sum of its proper divisors (5453892) is greater than itself. Its abundance is 3471012

### Bases of 1982880

• Binary: 1111001000001101000002
• Base-36: 16I00

### Squares and roots of 1982880

• 1982880 squared (19828802) is 3931813094400
• 1982880 cubed (19828803) is 7796313548623872000
• The square root of 1982880 is 1408.1477195237
• The cube root of 1982880 is 125.6315768443

### Scales and comparisons

How big is 1982880?
• 1,982,880 seconds is equal to 3 weeks, 1 day, 22 hours, 48 minutes.
• To count from 1 to 1,982,880 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 1982880 cubic inches would be around 10.5 feet tall.

### Recreational maths with 1982880

• 1982880 backwards is 0882891
• 1982880 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 1982880's digits is 36
• More coming soon!