# 1040

## 1,040 is an even composite number composed of three prime numbers multiplied together.

What does the number 1040 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

1040 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 1040:

### 24 × 5 × 13

(2 × 2 × 2 × 2 × 5 × 13)

See below for interesting mathematical facts about the number 1040 from the Numbermatics database.

### Names of 1040

• Cardinal: 1040 can be written as One thousand and forty.

### Scientific notation

• Scientific notation: 1.04 × 103

### Factors of 1040

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 20

### Divisors of 1040

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 2604
• Sum of proper divisors (its aliquot sum) s(n): 1564
• 1040 is an abundant number, because the sum of its proper divisors (1564) is greater than itself. Its abundance is 524

### Bases of 1040

• Binary: 100000100002
• Base-36: SW

### Squares and roots of 1040

• 1040 squared (10402) is 1081600
• 1040 cubed (10403) is 1124864000
• The square root of 1040 is 32.2490309931
• The cube root of 1040 is 10.1315940383

### Scales and comparisons

How big is 1040?
• 1,040 seconds is equal to 17 minutes, 20 seconds.
• To count from 1 to 1,040 would take you about seventeen 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 1040 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1040

• 1040 backwards is 0401
• 1040 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1040's digits is 5
• More coming soon!