The number 64040
64040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1601. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1601, 3202, 6404, 8005, 12808, 16010, 32020, 64040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64040: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
64040 is composite. Its prime factorisation is
- 3
The divisors add up to 144180; without 64040 itself that is 80140, so 64040 is abundant (80140 is more than 64040). Euler's totient φ(64040) = 25600 numbers up to 64040 share no factor with it.
- 4
The digits of 64040 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64040 = 2^{3} \times 5 \times 1601 \]64040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 144180 |
| Euler totient φ(n) | 25600 |
| Square | 4101121600 |
| Cube | 262635827264000 |
| Square root | 253.061257 (= 2√16010) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.404 × |
64040 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and forty |
| Binary (base 2) | 1111101000101000 |
| Octal (base 8) | 175050 |
| Hexadecimal (base 16) | FA28 |
| Base 3 | 10020211212 |
| As time | 64040 seconds = 17 h 47 min 20 s |
Is 64040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64040 ÷ 2 = 32020) | 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 (64040 ÷ 4 = 16010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64040 ÷ 5 = 12808) | 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 (64040 ÷ 8 = 8005) | 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 (64040 ÷ 10 = 6404) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 64040 a prime number?
No. 64040 = × 5 × 1601, so it is divisible by 2.
What are the factors of 64040?
1, 2, 4, 5, 8, 10, 20, 40, 1601, 3202, 6404, 8005, 12808, 16010, 32020, 64040.
What is 64040 in binary?
1111101000101000 (hexadecimal FA28, octal 175050).
What is the square root of 64040?
About 253.0613, exactly 2√16010.
Is 64040 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 64040?
64040 is a happy number: repeatedly adding the squares of its digits reaches 1.