The number 59290
59290 is a composite number with 36 divisors. Its prime factorisation is 2 × 5 × × . Divisors (36): 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 121 … 59290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59290 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59290 is composite. Its prime factorisation is
- 3
The divisors add up to 136458; without 59290 itself that is 77168, so 59290 is abundant (77168 is more than 59290). Euler's totient φ(59290) = 18480 numbers up to 59290 share no factor with it.
- 4
The digits of 59290 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59290 = 2 \times 5 \times 7^{2} \times 11^{2} \]59290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 136458 |
| Euler totient φ(n) | 18480 |
| Square | 3515304100 |
| Cube | 208422380089000 |
| Square root | 243.495380 (= 77√10) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.929 × |
59290 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and ninety |
| Binary (base 2) | 1110011110011010 |
| Octal (base 8) | 163632 |
| Hexadecimal (base 16) | E79A |
| Base 3 | 10000022221 |
| As time | 59290 seconds = 16 h 28 min 10 s |
Is 59290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59290 ÷ 2 = 29645) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59290 ÷ 5 = 11858) | 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 | Yes (59290 ÷ 7 = 8470) | 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 2) | 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 (59290 ÷ 10 = 5929) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59290 ÷ 11 = 5390) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59290 a prime number?
No. 59290 = 2 × 5 × × , so it is divisible by 2.
What are the factors of 59290?
1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 121, 154, 242, 245, 385, 490, 539, 605, 770, 847, 1078, 1210, 1694, 2695, 4235, 5390, 5929, 8470, 11858, 29645, 59290.
What is 59290 in binary?
1110011110011010 (hexadecimal E79A, octal 163632).
What is the square root of 59290?
About 243.4954, exactly 77√10.
Is 59290 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59290?
It is a composite number with 36 divisors.