# 1890

## 1,890 is an even composite number composed of four prime numbers multiplied together.

What does the number 1890 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

1890 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 1890:

### 2 × 33 × 5 × 7

(2 × 3 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 1890 from the Numbermatics database.

### Names of 1890

• Cardinal: 1890 can be written as One thousand, eight hundred ninety.

### Scientific notation

• Scientific notation: 1.89 × 103

### Factors of 1890

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 17

### Divisors of 1890

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 5760
• Sum of proper divisors (its aliquot sum) s(n): 3870
• 1890 is an abundant number, because the sum of its proper divisors (3870) is greater than itself. Its abundance is 1980

### Bases of 1890

• Binary: 111011000102
• Base-36: 1GI

### Squares and roots of 1890

• 1890 squared (18902) is 3572100
• 1890 cubed (18903) is 6751269000
• The square root of 1890 is 43.4741302385
• The cube root of 1890 is 12.3638558995

### Scales and comparisons

How big is 1890?
• 1,890 seconds is equal to 31 minutes, 30 seconds.
• To count from 1 to 1,890 would take you about thirty-one minutes.

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 1890 cubic inches would be around 1 feet tall.

### Recreational maths with 1890

• 1890 backwards is 0981
• 1890 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1890's digits is 18
• More coming soon!