The number 5340
5340 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 89. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356 … 5340.
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How to work it out
- 1
What is special about 5340: a Harshad number: divisible by its digit sum 12.
- 2
5340 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 5340 itself that is 9780, so 5340 is abundant (9780 is more than 5340). Euler's totient φ(5340) = 1408 numbers up to 5340 share no factor with it.
- 4
The digits of 5340 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5340 = 2^{2} \times 3 \times 5 \times 89 \]5340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 1408 |
| Square | 28515600 |
| Cube | 152273304000 |
| Square root | 73.075304 (= 2√1335) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.34 × |
5340 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and forty |
| Binary (base 2) | 1010011011100 |
| Octal (base 8) | 12334 |
| Hexadecimal (base 16) | 14DC |
| Base 3 | 21022210 |
| As time | 5340 seconds = 1 h 29 min 0 s |
Is 5340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5340 ÷ 2 = 2670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5340 ÷ 3 = 1780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5340 ÷ 4 = 1335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5340 ÷ 5 = 1068) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5340 ÷ 6 = 890) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5340 ÷ 10 = 534) | 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 | Yes (5340 ÷ 12 = 445) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5340 a prime number?
No. 5340 = × 3 × 5 × 89, so it is divisible by 2.
What are the factors of 5340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340.
What is 5340 in binary?
1010011011100 (hexadecimal 14DC, octal 12334).
What is the square root of 5340?
About 73.0753, exactly 2√1335.
Is 5340 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5340?
5340 is a Harshad number: divisible by its digit sum 12.