The number 98490
98490 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × × 67. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 67, 70 … 98490.
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How to work it out
- 1
What is special about 98490: a Harshad number: divisible by its digit sum 30.
- 2
98490 is composite. Its prime factorisation is
- 3
The divisors add up to 279072; without 98490 itself that is 180582, so 98490 is abundant (180582 is more than 98490). Euler's totient φ(98490) = 22176 numbers up to 98490 share no factor with it.
- 4
The digits of 98490 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98490 = 2 \times 3 \times 5 \times 7^{2} \times 67 \]98490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 279072 |
| Euler totient φ(n) | 22176 |
| Square | 9700280100 |
| Cube | 955380587049000 |
| Square root | 313.831165 (= 7√2010) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.849 × |
98490 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and ninety |
| Binary (base 2) | 11000000010111010 |
| Octal (base 8) | 300272 |
| Hexadecimal (base 16) | 180BA |
| Base 3 | 12000002210 |
| As time | 98490 seconds = 27 h 21 min 30 s |
Is 98490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98490 ÷ 2 = 49245) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98490 ÷ 3 = 32830) | 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 (98490 ÷ 5 = 19698) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98490 ÷ 6 = 16415) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98490 ÷ 7 = 14070) | 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 (98490 ÷ 10 = 9849) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 98490 a prime number?
No. 98490 = 2 × 3 × 5 × × 67, so it is divisible by 2.
What are the factors of 98490?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 67, 70, 98, 105, 134, 147, 201, 210, 245, 294, 335, 402, 469, 490, 670, 735, 938, 1005, 1407, 1470, 2010, 2345, 2814, 3283, 4690, 6566, 7035, 9849, 14070, 16415, 19698, 32830, 49245, 98490.
What is 98490 in binary?
11000000010111010 (hexadecimal 180BA, octal 300272).
What is the square root of 98490?
About 313.8312, exactly 7√2010.
Is 98490 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 98490?
98490 is a Harshad number: divisible by its digit sum 30.