The number 54090
54090 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 601. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 601, 1202, 1803, 3005 … 54090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54090: a Harshad number: divisible by its digit sum 18.
- 2
54090 is composite. Its prime factorisation is
- 3
The divisors add up to 140868; without 54090 itself that is 86778, so 54090 is abundant (86778 is more than 54090). Euler's totient φ(54090) = 14400 numbers up to 54090 share no factor with it.
- 4
The digits of 54090 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54090 = 2 \times 3^{2} \times 5 \times 601 \]54090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140868 |
| Euler totient φ(n) | 14400 |
| Square | 2925728100 |
| Cube | 158252632929000 |
| Square root | 232.572569 (= 3√6010) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.409 × |
54090 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and ninety |
| Binary (base 2) | 1101001101001010 |
| Octal (base 8) | 151512 |
| Hexadecimal (base 16) | D34A |
| Base 3 | 2202012100 |
| As time | 54090 seconds = 15 h 1 min 30 s |
Is 54090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54090 ÷ 2 = 27045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54090 ÷ 3 = 18030) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54090 ÷ 5 = 10818) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54090 ÷ 6 = 9015) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54090 ÷ 9 = 6010) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54090 ÷ 10 = 5409) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54090 a prime number?
No. 54090 = 2 × × 5 × 601, so it is divisible by 2.
What are the factors of 54090?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 601, 1202, 1803, 3005, 3606, 5409, 6010, 9015, 10818, 18030, 27045, 54090.
What is 54090 in binary?
1101001101001010 (hexadecimal D34A, octal 151512).
What is the square root of 54090?
About 232.5726, exactly 3√6010.
Is 54090 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54090?
54090 is a Harshad number: divisible by its digit sum 18.