The number 23120
23120 is a composite number with 30 divisors. Its prime factorisation is × 5 × . Divisors (30): 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170 … 23120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23120: a Harshad number: divisible by its digit sum 8.
- 2
23120 is composite. Its prime factorisation is
- 3
The divisors add up to 57102; without 23120 itself that is 33982, so 23120 is abundant (33982 is more than 23120). Euler's totient φ(23120) = 8704 numbers up to 23120 share no factor with it.
- 4
The digits of 23120 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23120 = 2^{4} \times 5 \times 17^{2} \]23120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 57102 |
| Euler totient φ(n) | 8704 |
| Square | 534534400 |
| Cube | 12358435328000 |
| Square root | 152.052622 (= 68√5) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.312 × |
23120 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and twenty |
| Binary (base 2) | 101101001010000 |
| Octal (base 8) | 55120 |
| Hexadecimal (base 16) | 5A50 |
| Base 3 | 1011201022 |
| As time | 23120 seconds = 6 h 25 min 20 s |
Is 23120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23120 ÷ 2 = 11560) | 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 (23120 ÷ 4 = 5780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23120 ÷ 5 = 4624) | 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 | Yes (23120 ÷ 8 = 2890) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23120 ÷ 10 = 2312) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 23120 a prime number?
No. 23120 = × 5 × , so it is divisible by 2.
What are the factors of 23120?
1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 289, 340, 578, 680, 1156, 1360, 1445, 2312, 2890, 4624, 5780, 11560, 23120.
What is 23120 in binary?
101101001010000 (hexadecimal 5A50, octal 55120).
What is the square root of 23120?
About 152.0526, exactly 68√5.
Is 23120 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 23120?
23120 is a Harshad number: divisible by its digit sum 8.