The number 57400
57400 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 41. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 41, 50, 56 … 57400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57400 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 57400 itself that is 98840, so 57400 is abundant (98840 is more than 57400). Euler's totient φ(57400) = 19200 numbers up to 57400 share no factor with it.
- 4
The digits of 57400 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57400 = 2^{3} \times 5^{2} \times 7 \times 41 \]57400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 19200 |
| Square | 3294760000 |
| Cube | 189119224000000 |
| Square root | 239.582971 (= 10√574) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.74 × |
57400 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred |
| Binary (base 2) | 1110000000111000 |
| Octal (base 8) | 160070 |
| Hexadecimal (base 16) | E038 |
| Base 3 | 2220201221 |
| As time | 57400 seconds = 15 h 56 min 40 s |
Is 57400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57400 ÷ 2 = 28700) | 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 (57400 ÷ 4 = 14350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57400 ÷ 5 = 11480) | 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 (57400 ÷ 7 = 8200) | 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 (57400 ÷ 8 = 7175) | 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 (57400 ÷ 10 = 5740) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 57400 a prime number?
No. 57400 = × × 7 × 41, so it is divisible by 2.
What are the factors of 57400?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 41, 50, 56, 70, 82, 100, 140, 164, 175, 200, 205, 280, 287, 328, 350, 410, 574, 700, 820, 1025, 1148, 1400, 1435, 1640, 2050, 2296, 2870, 4100, 5740, 7175, 8200, 11480, 14350, 28700, 57400.
What is 57400 in binary?
1110000000111000 (hexadecimal E038, octal 160070).
What is the square root of 57400?
About 239.5830, exactly 10√574.
Is 57400 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 57400?
It is a composite number with 48 divisors.