The number 54920
54920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1373. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1373, 2746, 5492, 6865, 10984, 13730, 27460, 54920.
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How to work it out
- 1
What is special about 54920: a Harshad number: divisible by its digit sum 20.
- 2
54920 is composite. Its prime factorisation is
- 3
The divisors add up to 123660; without 54920 itself that is 68740, so 54920 is abundant (68740 is more than 54920). Euler's totient φ(54920) = 21952 numbers up to 54920 share no factor with it.
- 4
The digits of 54920 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54920 = 2^{3} \times 5 \times 1373 \]54920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123660 |
| Euler totient φ(n) | 21952 |
| Square | 3016206400 |
| Cube | 165650055488000 |
| Square root | 234.350165 (= 2√13730) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.492 × |
54920 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and twenty |
| Binary (base 2) | 1101011010001000 |
| Octal (base 8) | 153210 |
| Hexadecimal (base 16) | D688 |
| Base 3 | 2210100002 |
| As time | 54920 seconds = 15 h 15 min 20 s |
Is 54920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54920 ÷ 2 = 27460) | 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 (54920 ÷ 4 = 13730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54920 ÷ 5 = 10984) | 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 5) | 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 (54920 ÷ 8 = 6865) | 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 (54920 ÷ 10 = 5492) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 54920 a prime number?
No. 54920 = × 5 × 1373, so it is divisible by 2.
What are the factors of 54920?
1, 2, 4, 5, 8, 10, 20, 40, 1373, 2746, 5492, 6865, 10984, 13730, 27460, 54920.
What is 54920 in binary?
1101011010001000 (hexadecimal D688, octal 153210).
What is the square root of 54920?
About 234.3502, exactly 2√13730.
Is 54920 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54920?
54920 is a Harshad number: divisible by its digit sum 20.