The number 54420
54420 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 907. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 907, 1814, 2721, 3628 … 54420.
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How to work it out
- 1
What is special about 54420: a Harshad number: divisible by its digit sum 15.
- 2
54420 is composite. Its prime factorisation is
- 3
The divisors add up to 152544; without 54420 itself that is 98124, so 54420 is abundant (98124 is more than 54420). Euler's totient φ(54420) = 14496 numbers up to 54420 share no factor with it.
- 4
The digits of 54420 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54420 = 2^{2} \times 3 \times 5 \times 907 \]54420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 152544 |
| Euler totient φ(n) | 14496 |
| Square | 2961536400 |
| Cube | 161166810888000 |
| Square root | 233.280947 (= 2√13605) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.442 × |
54420 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and twenty |
| Binary (base 2) | 1101010010010100 |
| Octal (base 8) | 152224 |
| Hexadecimal (base 16) | D494 |
| Base 3 | 2202122120 |
| As time | 54420 seconds = 15 h 7 min 0 s |
Is 54420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54420 ÷ 2 = 27210) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54420 ÷ 3 = 18140) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54420 ÷ 4 = 13605) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54420 ÷ 5 = 10884) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54420 ÷ 6 = 9070) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54420 ÷ 10 = 5442) | 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 | Yes (54420 ÷ 12 = 4535) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54420 a prime number?
No. 54420 = × 3 × 5 × 907, so it is divisible by 2.
What are the factors of 54420?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 907, 1814, 2721, 3628, 4535, 5442, 9070, 10884, 13605, 18140, 27210, 54420.
What is 54420 in binary?
1101010010010100 (hexadecimal D494, octal 152224).
What is the square root of 54420?
About 233.2809, exactly 2√13605.
Is 54420 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 54420?
54420 is a Harshad number: divisible by its digit sum 15.