The number 67520
67520 is a composite number with 28 divisors. Its prime factorisation is × 5 × 211. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 211, 320, 422 … 67520.
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How to work it out
- 1
What is special about 67520: a Harshad number: divisible by its digit sum 20.
- 2
67520 is composite. Its prime factorisation is
- 3
The divisors add up to 161544; without 67520 itself that is 94024, so 67520 is abundant (94024 is more than 67520). Euler's totient φ(67520) = 26880 numbers up to 67520 share no factor with it.
- 4
The digits of 67520 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67520 = 2^{6} \times 5 \times 211 \]67520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 161544 |
| Euler totient φ(n) | 26880 |
| Square | 4558950400 |
| Cube | 307820331008000 |
| Square root | 259.846108 (= 8√1055) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.752 × |
67520 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and twenty |
| Binary (base 2) | 10000011111000000 |
| Octal (base 8) | 203700 |
| Hexadecimal (base 16) | 107C0 |
| Base 3 | 10102121202 |
| As time | 67520 seconds = 18 h 45 min 20 s |
Is 67520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67520 ÷ 2 = 33760) | 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 (67520 ÷ 4 = 16880) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67520 ÷ 5 = 13504) | 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 5) | 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 (67520 ÷ 8 = 8440) | 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 (67520 ÷ 10 = 6752) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 67520 a prime number?
No. 67520 = × 5 × 211, so it is divisible by 2.
What are the factors of 67520?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 211, 320, 422, 844, 1055, 1688, 2110, 3376, 4220, 6752, 8440, 13504, 16880, 33760, 67520.
What is 67520 in binary?
10000011111000000 (hexadecimal 107C0, octal 203700).
What is the square root of 67520?
About 259.8461, exactly 8√1055.
Is 67520 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67520?
67520 is a Harshad number: divisible by its digit sum 20.