The number 5140
5140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 257. Divisors (12): 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5140: a Harshad number: divisible by its digit sum 10.
- 2
5140 is composite. Its prime factorisation is
- 3
The divisors add up to 10836; without 5140 itself that is 5696, so 5140 is abundant (5696 is more than 5140). Euler's totient φ(5140) = 2048 numbers up to 5140 share no factor with it.
- 4
The digits of 5140 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5140 = 2^{2} \times 5 \times 257 \]5140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10836 |
| Euler totient φ(n) | 2048 |
| Square | 26419600 |
| Cube | 135796744000 |
| Square root | 71.693793 (= 2√1285) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.14 × |
5140 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and forty |
| Binary (base 2) | 1010000010100 |
| Octal (base 8) | 12024 |
| Hexadecimal (base 16) | 1414 |
| Base 3 | 21001101 |
| As time | 5140 seconds = 1 h 25 min 40 s |
Is 5140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5140 ÷ 2 = 2570) | 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 (5140 ÷ 4 = 1285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5140 ÷ 5 = 1028) | 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 2) | 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 (5140 ÷ 10 = 514) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 5140 a prime number?
No. 5140 = × 5 × 257, so it is divisible by 2.
What are the factors of 5140?
1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140.
What is 5140 in binary?
1010000010100 (hexadecimal 1414, octal 12024).
What is the square root of 5140?
About 71.6938, exactly 2√1285.
Is 5140 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5140?
5140 is a Harshad number: divisible by its digit sum 10.