The number 54020
54020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 37 × 73. Divisors (24): 1, 2, 4, 5, 10, 20, 37, 73, 74, 146, 148, 185, 292, 365, 370, 730 … 54020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54020 is composite. Its prime factorisation is
- 3
The divisors add up to 118104; without 54020 itself that is 64084, so 54020 is abundant (64084 is more than 54020). Euler's totient φ(54020) = 20736 numbers up to 54020 share no factor with it.
- 4
The digits of 54020 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54020 = 2^{2} \times 5 \times 37 \times 73 \]54020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118104 |
| Euler totient φ(n) | 20736 |
| Square | 2918160400 |
| Cube | 157639024808000 |
| Square root | 232.422030 (= 2√13505) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.402 × |
54020 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and twenty |
| Binary (base 2) | 1101001100000100 |
| Octal (base 8) | 151404 |
| Hexadecimal (base 16) | D304 |
| Base 3 | 2202002202 |
| As time | 54020 seconds = 15 h 0 min 20 s |
Is 54020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54020 ÷ 2 = 27010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54020 ÷ 4 = 13505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54020 ÷ 5 = 10804) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54020 ÷ 10 = 5402) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54020 a prime number?
No. 54020 = × 5 × 37 × 73, so it is divisible by 2.
What are the factors of 54020?
1, 2, 4, 5, 10, 20, 37, 73, 74, 146, 148, 185, 292, 365, 370, 730, 740, 1460, 2701, 5402, 10804, 13505, 27010, 54020.
What is 54020 in binary?
1101001100000100 (hexadecimal D304, octal 151404).
What is the square root of 54020?
About 232.4220, exactly 2√13505.
Is 54020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 54020?
It is a composite number with 24 divisors.