The number 1040
1040 is a composite number with 20 divisors. Its prime factorisation is × 5 × 13. Divisors (20): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130 … 1040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1040: a Harshad number: divisible by its digit sum 5.
- 2
1040 is composite. Its prime factorisation is
- 3
The divisors add up to 2604; without 1040 itself that is 1564, so 1040 is abundant (1564 is more than 1040). Euler's totient φ(1040) = 384 numbers up to 1040 share no factor with it.
- 4
The digits of 1040 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1040 = 2^{4} \times 5 \times 13 \]1040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 2604 |
| Euler totient φ(n) | 384 |
| Square | 1081600 |
| Cube | 1124864000 |
| Square root | 32.249031 (= 4√65) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.04 × |
1040 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty |
| Roman numerals | MXL |
| Binary (base 2) | 10000010000 |
| Octal (base 8) | 2020 |
| Hexadecimal (base 16) | 410 |
| Base 3 | 1102112 |
| As time | 1040 seconds = 17 min 20 s |
Is 1040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1040 ÷ 2 = 520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1040 ÷ 4 = 260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1040 ÷ 5 = 208) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (1040 ÷ 8 = 130) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1040 ÷ 10 = 104) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1040 a prime number?
No. 1040 = × 5 × 13, so it is divisible by 2.
What are the factors of 1040?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040.
What is 1040 in binary?
10000010000 (hexadecimal 410, octal 2020).
What is the square root of 1040?
About 32.2490, exactly 4√65.
What is 1040 in Roman numerals?
MXL.
Is 1040 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1040?
1040 is a Harshad number: divisible by its digit sum 5.