The number 27450
27450 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 61. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 61, 75, 90 … 27450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27450: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27450 is composite. Its prime factorisation is
- 3
The divisors add up to 74958; without 27450 itself that is 47508, so 27450 is abundant (47508 is more than 27450). Euler's totient φ(27450) = 7200 numbers up to 27450 share no factor with it.
- 4
The digits of 27450 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27450 = 2 \times 3^{2} \times 5^{2} \times 61 \]27450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 74958 |
| Euler totient φ(n) | 7200 |
| Square | 753502500 |
| Cube | 20683643625000 |
| Square root | 165.680415 (= 15√122) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.745 × |
27450 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and fifty |
| Binary (base 2) | 110101100111010 |
| Octal (base 8) | 65472 |
| Hexadecimal (base 16) | 6B3A |
| Base 3 | 1101122200 |
| As time | 27450 seconds = 7 h 37 min 30 s |
Is 27450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27450 ÷ 2 = 13725) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27450 ÷ 3 = 9150) | 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 (27450 ÷ 5 = 5490) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27450 ÷ 6 = 4575) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (27450 ÷ 9 = 3050) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27450 ÷ 10 = 2745) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27450 a prime number?
No. 27450 = 2 × × × 61, so it is divisible by 2.
What are the factors of 27450?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 61, 75, 90, 122, 150, 183, 225, 305, 366, 450, 549, 610, 915, 1098, 1525, 1830, 2745, 3050, 4575, 5490, 9150, 13725, 27450.
What is 27450 in binary?
110101100111010 (hexadecimal 6B3A, octal 65472).
What is the square root of 27450?
About 165.6804, exactly 15√122.
Is 27450 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27450?
27450 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.