The number 36990
36990 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 137. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 137 … 36990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36990: a Harshad number: divisible by its digit sum 27.
- 2
36990 is composite. Its prime factorisation is
- 3
The divisors add up to 99360; without 36990 itself that is 62370, so 36990 is abundant (62370 is more than 36990). Euler's totient φ(36990) = 9792 numbers up to 36990 share no factor with it.
- 4
The digits of 36990 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36990 = 2 \times 3^{3} \times 5 \times 137 \]36990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 99360 |
| Euler totient φ(n) | 9792 |
| Square | 1368260100 |
| Cube | 50611941099000 |
| Square root | 192.327845 (= 3√4110) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.699 × |
36990 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and ninety |
| Binary (base 2) | 1001000001111110 |
| Octal (base 8) | 110176 |
| Hexadecimal (base 16) | 907E |
| Base 3 | 1212202000 |
| As time | 36990 seconds = 10 h 16 min 30 s |
Is 36990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36990 ÷ 2 = 18495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36990 ÷ 3 = 12330) | 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 (36990 ÷ 5 = 7398) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36990 ÷ 6 = 6165) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36990 ÷ 9 = 4110) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36990 ÷ 10 = 3699) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 36990 a prime number?
No. 36990 = 2 × × 5 × 137, so it is divisible by 2.
What are the factors of 36990?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 137, 270, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 3699, 4110, 6165, 7398, 12330, 18495, 36990.
What is 36990 in binary?
1001000001111110 (hexadecimal 907E, octal 110176).
What is the square root of 36990?
About 192.3278, exactly 3√4110.
Is 36990 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 36990?
36990 is a Harshad number: divisible by its digit sum 27.