The number 59240
59240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1481. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1481, 2962, 5924, 7405, 11848, 14810, 29620, 59240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59240: a Harshad number: divisible by its digit sum 20.
- 2
59240 is composite. Its prime factorisation is
- 3
The divisors add up to 133380; without 59240 itself that is 74140, so 59240 is abundant (74140 is more than 59240). Euler's totient φ(59240) = 23680 numbers up to 59240 share no factor with it.
- 4
The digits of 59240 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59240 = 2^{3} \times 5 \times 1481 \]59240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 133380 |
| Euler totient φ(n) | 23680 |
| Square | 3509377600 |
| Cube | 207895529024000 |
| Square root | 243.392687 (= 2√14810) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.924 × |
59240 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and forty |
| Binary (base 2) | 1110011101101000 |
| Octal (base 8) | 163550 |
| Hexadecimal (base 16) | E768 |
| Base 3 | 10000021002 |
| As time | 59240 seconds = 16 h 27 min 20 s |
Is 59240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59240 ÷ 2 = 29620) | 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 (59240 ÷ 4 = 14810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59240 ÷ 5 = 11848) | 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 6) | 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 (59240 ÷ 8 = 7405) | 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 (59240 ÷ 10 = 5924) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 59240 a prime number?
No. 59240 = × 5 × 1481, so it is divisible by 2.
What are the factors of 59240?
1, 2, 4, 5, 8, 10, 20, 40, 1481, 2962, 5924, 7405, 11848, 14810, 29620, 59240.
What is 59240 in binary?
1110011101101000 (hexadecimal E768, octal 163550).
What is the square root of 59240?
About 243.3927, exactly 2√14810.
Is 59240 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59240?
59240 is a Harshad number: divisible by its digit sum 20.