The number 16470
16470 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 61. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 61, 90, 122 … 16470.
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How to work it out
- 1
What is special about 16470: a Harshad number: divisible by its digit sum 18.
- 2
16470 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 16470 itself that is 28170, so 16470 is abundant (28170 is more than 16470). Euler's totient φ(16470) = 4320 numbers up to 16470 share no factor with it.
- 4
The digits of 16470 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16470 = 2 \times 3^{3} \times 5 \times 61 \]16470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 4320 |
| Square | 271260900 |
| Cube | 4467667023000 |
| Square root | 128.335498 (= 3√1830) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.647 × |
16470 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and seventy |
| Binary (base 2) | 100000001010110 |
| Octal (base 8) | 40126 |
| Hexadecimal (base 16) | 4056 |
| Base 3 | 211121000 |
| As time | 16470 seconds = 4 h 34 min 30 s |
Is 16470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16470 ÷ 2 = 8235) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16470 ÷ 3 = 5490) | 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 (16470 ÷ 5 = 3294) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16470 ÷ 6 = 2745) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16470 ÷ 9 = 1830) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16470 ÷ 10 = 1647) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16470 a prime number?
No. 16470 = 2 × × 5 × 61, so it is divisible by 2.
What are the factors of 16470?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 61, 90, 122, 135, 183, 270, 305, 366, 549, 610, 915, 1098, 1647, 1830, 2745, 3294, 5490, 8235, 16470.
What is 16470 in binary?
100000001010110 (hexadecimal 4056, octal 40126).
What is the square root of 16470?
About 128.3355, exactly 3√1830.
Is 16470 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16470?
16470 is a Harshad number: divisible by its digit sum 18.