The number 56420
56420 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 13 × 31. Divisors (48): 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 31, 35, 52, 62, 65 … 56420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56420 is composite. Its prime factorisation is
- 3
The divisors add up to 150528; without 56420 itself that is 94108, so 56420 is abundant (94108 is more than 56420). Euler's totient φ(56420) = 17280 numbers up to 56420 share no factor with it.
- 4
The digits of 56420 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56420 = 2^{2} \times 5 \times 7 \times 13 \times 31 \]56420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 150528 |
| Euler totient φ(n) | 17280 |
| Square | 3183216400 |
| Cube | 179597069288000 |
| Square root | 237.528946 (= 2√14105) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.642 × |
56420 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand four hundred and twenty |
| Binary (base 2) | 1101110001100100 |
| Octal (base 8) | 156144 |
| Hexadecimal (base 16) | DC64 |
| Base 3 | 2212101122 |
| As time | 56420 seconds = 15 h 40 min 20 s |
Is 56420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56420 ÷ 2 = 28210) | 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 (56420 ÷ 4 = 14105) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56420 ÷ 5 = 11284) | 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 (56420 ÷ 7 = 8060) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (56420 ÷ 10 = 5642) | 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 56420 a prime number?
No. 56420 = × 5 × 7 × 13 × 31, so it is divisible by 2.
What are the factors of 56420?
1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 31, 35, 52, 62, 65, 70, 91, 124, 130, 140, 155, 182, 217, 260, 310, 364, 403, 434, 455, 620, 806, 868, 910, 1085, 1612, 1820, 2015, 2170, 2821, 4030, 4340, 5642, 8060, 11284, 14105, 28210, 56420.
What is 56420 in binary?
1101110001100100 (hexadecimal DC64, octal 156144).
What is the square root of 56420?
About 237.5289, exactly 2√14105.
Is 56420 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 56420?
It is a composite number with 48 divisors.