The number 67420
67420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3371. Divisors (12): 1, 2, 4, 5, 10, 20, 3371, 6742, 13484, 16855, 33710, 67420.
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How to work it out
- 1
67420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67420 is composite. Its prime factorisation is
- 3
The divisors add up to 141624; without 67420 itself that is 74204, so 67420 is abundant (74204 is more than 67420). Euler's totient φ(67420) = 26960 numbers up to 67420 share no factor with it.
- 4
The digits of 67420 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67420 = 2^{2} \times 5 \times 3371 \]67420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141624 |
| Euler totient φ(n) | 26960 |
| Square | 4545456400 |
| Cube | 306454670488000 |
| Square root | 259.653615 (= 2√16855) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.742 × |
67420 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty |
| Binary (base 2) | 10000011101011100 |
| Octal (base 8) | 203534 |
| Hexadecimal (base 16) | 1075C |
| Base 3 | 10102111001 |
| As time | 67420 seconds = 18 h 43 min 40 s |
Is 67420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67420 ÷ 2 = 33710) | 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 (67420 ÷ 4 = 16855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67420 ÷ 5 = 13484) | 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 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67420 ÷ 10 = 6742) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67420 a prime number?
No. 67420 = × 5 × 3371, so it is divisible by 2.
What are the factors of 67420?
1, 2, 4, 5, 10, 20, 3371, 6742, 13484, 16855, 33710, 67420.
What is 67420 in binary?
10000011101011100 (hexadecimal 1075C, octal 203534).
What is the square root of 67420?
About 259.6536, exactly 2√16855.
Is 67420 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67420?
It is a composite number with 12 divisors.