The number 32890
32890 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 11 × 13 × 23. Divisors (32): 1, 2, 5, 10, 11, 13, 22, 23, 26, 46, 55, 65, 110, 115, 130, 143 … 32890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32890: a Harshad number: divisible by its digit sum 22.
- 2
32890 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 32890 itself that is 39686, so 32890 is abundant (39686 is more than 32890). Euler's totient φ(32890) = 10560 numbers up to 32890 share no factor with it.
- 4
The digits of 32890 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32890 = 2 \times 5 \times 11 \times 13 \times 23 \]
32890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 10560 |
| Square | 1081752100 |
| Cube | 35578826569000 |
| Square root | 181.356003 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.289 × |
32890 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and ninety |
| Binary (base 2) | 1000000001111010 |
| Octal (base 8) | 100172 |
| Hexadecimal (base 16) | 807A |
| Base 3 | 1200010011 |
| As time | 32890 seconds = 9 h 8 min 10 s |
Is 32890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32890 ÷ 2 = 16445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (32890 ÷ 5 = 6578) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32890 ÷ 10 = 3289) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (32890 ÷ 11 = 2990) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32890 a prime number?
No. 32890 = 2 × 5 × 11 × 13 × 23, so it is divisible by 2.
What are the factors of 32890?
1, 2, 5, 10, 11, 13, 22, 23, 26, 46, 55, 65, 110, 115, 130, 143, 230, 253, 286, 299, 506, 598, 715, 1265, 1430, 1495, 2530, 2990, 3289, 6578, 16445, 32890.
What is 32890 in binary?
1000000001111010 (hexadecimal 807A, octal 100172).
What is the square root of 32890?
About 181.3560.
Is 32890 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32890?
32890 is a Harshad number: divisible by its digit sum 22.