The number 5400
5400 is a composite number with 48 divisors. Its prime factorisation is × × . Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27 … 5400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5400: a Harshad number: divisible by its digit sum 9.
- 2
5400 is composite. Its prime factorisation is
- 3
The divisors add up to 18600; without 5400 itself that is 13200, so 5400 is abundant (13200 is more than 5400). Euler's totient φ(5400) = 1440 numbers up to 5400 share no factor with it.
- 4
The digits of 5400 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5400 = 2^{3} \times 3^{3} \times 5^{2} \]5400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 18600 |
| Euler totient φ(n) | 1440 |
| Square | 29160000 |
| Cube | 157464000000 |
| Square root | 73.484692 (= 30√6) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.4 × |
5400 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred |
| Binary (base 2) | 1010100011000 |
| Octal (base 8) | 12430 |
| Hexadecimal (base 16) | 1518 |
| Base 3 | 21102000 |
| As time | 5400 seconds = 1 h 30 min 0 s |
Is 5400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5400 ÷ 2 = 2700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5400 ÷ 3 = 1800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5400 ÷ 4 = 1350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5400 ÷ 5 = 1080) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5400 ÷ 6 = 900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (5400 ÷ 8 = 675) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5400 ÷ 9 = 600) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5400 ÷ 10 = 540) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5400 ÷ 12 = 450) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5400 a prime number?
No. 5400 = × × , so it is divisible by 2.
What are the factors of 5400?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400.
What is 5400 in binary?
1010100011000 (hexadecimal 1518, octal 12430).
What is the square root of 5400?
About 73.4847, exactly 30√6.
Is 5400 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 5400?
5400 is a Harshad number: divisible by its digit sum 9.