The number 38070
38070 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 47. Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 47, 54, 81, 90 … 38070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38070: a Harshad number: divisible by its digit sum 18.
- 2
38070 is composite. Its prime factorisation is
- 3
The divisors add up to 104544; without 38070 itself that is 66474, so 38070 is abundant (66474 is more than 38070). Euler's totient φ(38070) = 9936 numbers up to 38070 share no factor with it.
- 4
The digits of 38070 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38070 = 2 \times 3^{4} \times 5 \times 47 \]38070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104544 |
| Euler totient φ(n) | 9936 |
| Square | 1449324900 |
| Cube | 55175798943000 |
| Square root | 195.115350 (= 9√470) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.807 × |
38070 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and seventy |
| Binary (base 2) | 1001010010110110 |
| Octal (base 8) | 112266 |
| Hexadecimal (base 16) | 94B6 |
| Base 3 | 1221020000 |
| As time | 38070 seconds = 10 h 34 min 30 s |
Is 38070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38070 ÷ 2 = 19035) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38070 ÷ 3 = 12690) | 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 (38070 ÷ 5 = 7614) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38070 ÷ 6 = 6345) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38070 ÷ 9 = 4230) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38070 ÷ 10 = 3807) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 38070 a prime number?
No. 38070 = 2 × × 5 × 47, so it is divisible by 2.
What are the factors of 38070?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 47, 54, 81, 90, 94, 135, 141, 162, 235, 270, 282, 405, 423, 470, 705, 810, 846, 1269, 1410, 2115, 2538, 3807, 4230, 6345, 7614, 12690, 19035, 38070.
What is 38070 in binary?
1001010010110110 (hexadecimal 94B6, octal 112266).
What is the square root of 38070?
About 195.1154, exactly 9√470.
Is 38070 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38070?
38070 is a Harshad number: divisible by its digit sum 18.