The number 61040
61040 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 109. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 61040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61040 is composite. Its prime factorisation is
- 3
The divisors add up to 163680; without 61040 itself that is 102640, so 61040 is abundant (102640 is more than 61040). Euler's totient φ(61040) = 20736 numbers up to 61040 share no factor with it.
- 4
The digits of 61040 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61040 = 2^{4} \times 5 \times 7 \times 109 \]61040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 163680 |
| Euler totient φ(n) | 20736 |
| Square | 3725881600 |
| Cube | 227427812864000 |
| Square root | 247.062745 (= 4√3815) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.104 × |
61040 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and forty |
| Binary (base 2) | 1110111001110000 |
| Octal (base 8) | 167160 |
| Hexadecimal (base 16) | EE70 |
| Base 3 | 10002201202 |
| As time | 61040 seconds = 16 h 57 min 20 s |
Is 61040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61040 ÷ 2 = 30520) | 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 (61040 ÷ 4 = 15260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (61040 ÷ 5 = 12208) | 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 | Yes (61040 ÷ 7 = 8720) | 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 (61040 ÷ 8 = 7630) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (61040 ÷ 10 = 6104) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 61040 a prime number?
No. 61040 = × 5 × 7 × 109, so it is divisible by 2.
What are the factors of 61040?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 109, 112, 140, 218, 280, 436, 545, 560, 763, 872, 1090, 1526, 1744, 2180, 3052, 3815, 4360, 6104, 7630, 8720, 12208, 15260, 30520, 61040.
What is 61040 in binary?
1110111001110000 (hexadecimal EE70, octal 167160).
What is the square root of 61040?
About 247.0627, exactly 4√3815.
Is 61040 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 61040?
It is a composite number with 40 divisors.