The number 59420
59420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2971. Divisors (12): 1, 2, 4, 5, 10, 20, 2971, 5942, 11884, 14855, 29710, 59420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59420: a Harshad number: divisible by its digit sum 20.
- 2
59420 is composite. Its prime factorisation is
- 3
The divisors add up to 124824; without 59420 itself that is 65404, so 59420 is abundant (65404 is more than 59420). Euler's totient φ(59420) = 23760 numbers up to 59420 share no factor with it.
- 4
The digits of 59420 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59420 = 2^{2} \times 5 \times 2971 \]59420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124824 |
| Euler totient φ(n) | 23760 |
| Square | 3530736400 |
| Cube | 209796356888000 |
| Square root | 243.762179 (= 2√14855) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.942 × |
59420 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand four hundred and twenty |
| Binary (base 2) | 1110100000011100 |
| Octal (base 8) | 164034 |
| Hexadecimal (base 16) | E81C |
| Base 3 | 10000111202 |
| As time | 59420 seconds = 16 h 30 min 20 s |
Is 59420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59420 ÷ 2 = 29710) | 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 (59420 ÷ 4 = 14855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59420 ÷ 5 = 11884) | 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 | No (remainder 4) | 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 (59420 ÷ 10 = 5942) | 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 59420 a prime number?
No. 59420 = × 5 × 2971, so it is divisible by 2.
What are the factors of 59420?
1, 2, 4, 5, 10, 20, 2971, 5942, 11884, 14855, 29710, 59420.
What is 59420 in binary?
1110100000011100 (hexadecimal E81C, octal 164034).
What is the square root of 59420?
About 243.7622, exactly 2√14855.
Is 59420 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59420?
59420 is a Harshad number: divisible by its digit sum 20.