The number 54740
54740 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 17 × 23. Divisors (48): 1, 2, 4, 5, 7, 10, 14, 17, 20, 23, 28, 34, 35, 46, 68, 70 … 54740.
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How to work it out
- 1
What is special about 54740: a Harshad number: divisible by its digit sum 20.
- 2
54740 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 54740 itself that is 90412, so 54740 is abundant (90412 is more than 54740). Euler's totient φ(54740) = 16896 numbers up to 54740 share no factor with it.
- 4
The digits of 54740 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54740 = 2^{2} \times 5 \times 7 \times 17 \times 23 \]54740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 16896 |
| Square | 2996467600 |
| Cube | 164026636424000 |
| Square root | 233.965809 (= 2√13685) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.474 × |
54740 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and forty |
| Binary (base 2) | 1101010111010100 |
| Octal (base 8) | 152724 |
| Hexadecimal (base 16) | D5D4 |
| Base 3 | 2210002102 |
| As time | 54740 seconds = 15 h 12 min 20 s |
Is 54740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54740 ÷ 2 = 27370) | 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 (54740 ÷ 4 = 13685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54740 ÷ 5 = 10948) | 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 | Yes (54740 ÷ 7 = 7820) | 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 (54740 ÷ 10 = 5474) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 54740 a prime number?
No. 54740 = × 5 × 7 × 17 × 23, so it is divisible by 2.
What are the factors of 54740?
1, 2, 4, 5, 7, 10, 14, 17, 20, 23, 28, 34, 35, 46, 68, 70, 85, 92, 115, 119, 140, 161, 170, 230, 238, 322, 340, 391, 460, 476, 595, 644, 782, 805, 1190, 1564, 1610, 1955, 2380, 2737, 3220, 3910, 5474, 7820, 10948, 13685, 27370, 54740.
What is 54740 in binary?
1101010111010100 (hexadecimal D5D4, octal 152724).
What is the square root of 54740?
About 233.9658, exactly 2√13685.
Is 54740 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 54740?
54740 is a Harshad number: divisible by its digit sum 20.