The number 59140
59140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2957. Divisors (12): 1, 2, 4, 5, 10, 20, 2957, 5914, 11828, 14785, 29570, 59140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59140 is composite. Its prime factorisation is
- 3
The divisors add up to 124236; without 59140 itself that is 65096, so 59140 is abundant (65096 is more than 59140). Euler's totient φ(59140) = 23648 numbers up to 59140 share no factor with it.
- 4
The digits of 59140 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59140 = 2^{2} \times 5 \times 2957 \]59140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124236 |
| Euler totient φ(n) | 23648 |
| Square | 3497539600 |
| Cube | 206844491944000 |
| Square root | 243.187171 (= 2√14785) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.914 × |
59140 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and forty |
| Binary (base 2) | 1110011100000100 |
| Octal (base 8) | 163404 |
| Hexadecimal (base 16) | E704 |
| Base 3 | 10000010101 |
| As time | 59140 seconds = 16 h 25 min 40 s |
Is 59140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59140 ÷ 2 = 29570) | 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 (59140 ÷ 4 = 14785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59140 ÷ 5 = 11828) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59140 ÷ 10 = 5914) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 59140 a prime number?
No. 59140 = × 5 × 2957, so it is divisible by 2.
What are the factors of 59140?
1, 2, 4, 5, 10, 20, 2957, 5914, 11828, 14785, 29570, 59140.
What is 59140 in binary?
1110011100000100 (hexadecimal E704, octal 163404).
What is the square root of 59140?
About 243.1872, exactly 2√14785.
Is 59140 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 59140?
It is a composite number with 12 divisors.