The number 35490
35490 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × . Divisors (48): 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42 … 35490.
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How to work it out
- 1
What is special about 35490: a Harshad number: divisible by its digit sum 21.
- 2
35490 is composite. Its prime factorisation is
- 3
The divisors add up to 105408; without 35490 itself that is 69918, so 35490 is abundant (69918 is more than 35490). Euler's totient φ(35490) = 7488 numbers up to 35490 share no factor with it.
- 4
The digits of 35490 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35490 = 2 \times 3 \times 5 \times 7 \times 13^{2} \]35490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 105408 |
| Euler totient φ(n) | 7488 |
| Square | 1259540100 |
| Cube | 44701078149000 |
| Square root | 188.387898 (= 13√210) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.549 × |
35490 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and ninety |
| Binary (base 2) | 1000101010100010 |
| Octal (base 8) | 105242 |
| Hexadecimal (base 16) | 8AA2 |
| Base 3 | 1210200110 |
| As time | 35490 seconds = 9 h 51 min 30 s |
Is 35490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35490 ÷ 2 = 17745) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35490 ÷ 3 = 11830) | 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 (35490 ÷ 5 = 7098) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35490 ÷ 6 = 5915) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35490 ÷ 7 = 5070) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35490 ÷ 10 = 3549) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35490 a prime number?
No. 35490 = 2 × 3 × 5 × 7 × , so it is divisible by 2.
What are the factors of 35490?
1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 169, 182, 195, 210, 273, 338, 390, 455, 507, 546, 845, 910, 1014, 1183, 1365, 1690, 2366, 2535, 2730, 3549, 5070, 5915, 7098, 11830, 17745, 35490.
What is 35490 in binary?
1000101010100010 (hexadecimal 8AA2, octal 105242).
What is the square root of 35490?
About 188.3879, exactly 13√210.
Is 35490 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 35490?
35490 is a Harshad number: divisible by its digit sum 21.