The number 64240
64240 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 73. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 73, 80, 88 … 64240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64240: a Harshad number: divisible by its digit sum 16.
- 2
64240 is composite. Its prime factorisation is
- 3
The divisors add up to 165168; without 64240 itself that is 100928, so 64240 is abundant (100928 is more than 64240). Euler's totient φ(64240) = 23040 numbers up to 64240 share no factor with it.
- 4
The digits of 64240 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64240 = 2^{4} \times 5 \times 11 \times 73 \]64240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 165168 |
| Euler totient φ(n) | 23040 |
| Square | 4126777600 |
| Cube | 265104193024000 |
| Square root | 253.456111 (= 4√4015) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.424 × |
64240 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand two hundred and forty |
| Binary (base 2) | 1111101011110000 |
| Octal (base 8) | 175360 |
| Hexadecimal (base 16) | FAF0 |
| Base 3 | 10021010021 |
| As time | 64240 seconds = 17 h 50 min 40 s |
Is 64240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64240 ÷ 2 = 32120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64240 ÷ 4 = 16060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64240 ÷ 5 = 12848) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (64240 ÷ 8 = 8030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (64240 ÷ 10 = 6424) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (64240 ÷ 11 = 5840) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64240 a prime number?
No. 64240 = × 5 × 11 × 73, so it is divisible by 2.
What are the factors of 64240?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 73, 80, 88, 110, 146, 176, 220, 292, 365, 440, 584, 730, 803, 880, 1168, 1460, 1606, 2920, 3212, 4015, 5840, 6424, 8030, 12848, 16060, 32120, 64240.
What is 64240 in binary?
1111101011110000 (hexadecimal FAF0, octal 175360).
What is the square root of 64240?
About 253.4561, exactly 4√4015.
Is 64240 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 64240?
64240 is a Harshad number: divisible by its digit sum 16.