The number 90740
90740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 349. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 349, 698, 1396, 1745 … 90740.
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How to work it out
- 1
What is special about 90740: a Harshad number: divisible by its digit sum 20.
- 2
90740 is composite. Its prime factorisation is
- 3
The divisors add up to 205800; without 90740 itself that is 115060, so 90740 is abundant (115060 is more than 90740). Euler's totient φ(90740) = 33408 numbers up to 90740 share no factor with it.
- 4
The digits of 90740 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 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90740 = 2^{2} \times 5 \times 13 \times 349 \]90740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 205800 |
| Euler totient φ(n) | 33408 |
| Square | 8233747600 |
| Cube | 747130257224000 |
| Square root | 301.230809 (= 2√22685) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.074 × |
90740 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand seven hundred and forty |
| Binary (base 2) | 10110001001110100 |
| Octal (base 8) | 261164 |
| Hexadecimal (base 16) | 16274 |
| Base 3 | 11121110202 |
| As time | 90740 seconds = 25 h 12 min 20 s |
Is 90740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90740 ÷ 2 = 45370) | 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 (90740 ÷ 4 = 22685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (90740 ÷ 5 = 18148) | 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 | 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 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 (90740 ÷ 10 = 9074) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 90740 a prime number?
No. 90740 = × 5 × 13 × 349, so it is divisible by 2.
What are the factors of 90740?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 349, 698, 1396, 1745, 3490, 4537, 6980, 9074, 18148, 22685, 45370, 90740.
What is 90740 in binary?
10110001001110100 (hexadecimal 16274, octal 261164).
What is the square root of 90740?
About 301.2308, exactly 2√22685.
Is 90740 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 90740?
90740 is a Harshad number: divisible by its digit sum 20.