# 1950400

## 1,950,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 1950400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

1950400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 1950400:

### 26 × 52 × 23 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 53)

See below for interesting mathematical facts about the number 1950400 from the Numbermatics database.

### Names of 1950400

• Cardinal: 1950400 can be written as One million, nine hundred fifty thousand, four hundred.

### Scientific notation

• Scientific notation: 1.9504 × 106

### Factors of 1950400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 83

### Divisors of 1950400

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 5102352
• Sum of proper divisors (its aliquot sum) s(n): 3151952
• 1950400 is an abundant number, because the sum of its proper divisors (3151952) is greater than itself. Its abundance is 1201552

### Bases of 1950400

• Binary: 1110111000010110000002
• Base-36: 15SXS

### Squares and roots of 1950400

• 1950400 squared (19504002) is 3804060160000
• 1950400 cubed (19504003) is 7419438936064000000
• The square root of 1950400 is 1396.5672200077
• The cube root of 1950400 is 124.9418396099

### Scales and comparisons

How big is 1950400?
• 1,950,400 seconds is equal to 3 weeks, 13 hours, 46 minutes, 40 seconds.
• To count from 1 to 1,950,400 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 1950400 cubic inches would be around 10.4 feet tall.

### Recreational maths with 1950400

• 1950400 backwards is 0040591
• The number of decimal digits it has is: 7
• The sum of 1950400's digits is 19
• More coming soon!