The number 23460
23460 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 17 × 23. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 23, 30, 34, 46, 51 … 23460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23460: a Harshad number: divisible by its digit sum 15.
- 2
23460 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 23460 itself that is 49116, so 23460 is abundant (49116 is more than 23460). Euler's totient φ(23460) = 5632 numbers up to 23460 share no factor with it.
- 4
The digits of 23460 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23460 = 2^{2} \times 3 \times 5 \times 17 \times 23 \]23460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 5632 |
| Square | 550371600 |
| Cube | 12911717736000 |
| Square root | 153.166576 (= 2√5865) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 105 |
| Scientific notation | 2.346 × |
23460 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and sixty |
| Binary (base 2) | 101101110100100 |
| Octal (base 8) | 55644 |
| Hexadecimal (base 16) | 5BA4 |
| Base 3 | 1012011220 |
| As time | 23460 seconds = 6 h 31 min 0 s |
Is 23460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23460 ÷ 2 = 11730) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23460 ÷ 3 = 7820) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23460 ÷ 4 = 5865) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23460 ÷ 5 = 4692) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23460 ÷ 6 = 3910) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23460 ÷ 10 = 2346) | 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 | Yes (23460 ÷ 12 = 1955) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23460 a prime number?
No. 23460 = × 3 × 5 × 17 × 23, so it is divisible by 2.
What are the factors of 23460?
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 23, 30, 34, 46, 51, 60, 68, 69, 85, 92, 102, 115, 138, 170, 204, 230, 255, 276, 340, 345, 391, 460, 510, 690, 782, 1020, 1173, 1380, 1564, 1955, 2346, 3910, 4692, 5865, 7820, 11730, 23460.
What is 23460 in binary?
101101110100100 (hexadecimal 5BA4, octal 55644).
What is the square root of 23460?
About 153.1666, exactly 2√5865.
Is 23460 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 23460?
23460 is a Harshad number: divisible by its digit sum 15.