The number 88400
88400 is a composite number with 60 divisors. Its prime factorisation is × × 13 × 17. Divisors (60): 1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 25, 26, 34, 40, 50, 52 … 88400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88400: a Harshad number: divisible by its digit sum 20.
- 2
88400 is composite. Its prime factorisation is
- 3
The divisors add up to 242172; without 88400 itself that is 153772, so 88400 is abundant (153772 is more than 88400). Euler's totient φ(88400) = 30720 numbers up to 88400 share no factor with it.
- 4
The digits of 88400 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88400 = 2^{4} \times 5^{2} \times 13 \times 17 \]88400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 242172 |
| Euler totient φ(n) | 30720 |
| Square | 7814560000 |
| Cube | 690807104000000 |
| Square root | 297.321375 (= 20√221) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.84 × |
88400 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred |
| Binary (base 2) | 10101100101010000 |
| Octal (base 8) | 254520 |
| Hexadecimal (base 16) | 15950 |
| Base 3 | 11111021002 |
| As time | 88400 seconds = 24 h 33 min 20 s |
Is 88400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88400 ÷ 2 = 44200) | 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 (88400 ÷ 4 = 22100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88400 ÷ 5 = 17680) | 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 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 | Yes (88400 ÷ 8 = 11050) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88400 ÷ 10 = 8840) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 88400 a prime number?
No. 88400 = × × 13 × 17, so it is divisible by 2.
What are the factors of 88400?
1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 25, 26, 34, 40, 50, 52, 65, 68, 80, 85, 100, 104, 130, 136, 170, 200, 208, 221, 260, 272, 325, 340, 400, 425, 442, 520, 650, 680, 850, 884, 1040, 1105, 1300, 1360, 1700, 1768, 2210, 2600, 3400, 3536, 4420, 5200, 5525, 6800, 8840, 11050, 17680, 22100, 44200, 88400.
What is 88400 in binary?
10101100101010000 (hexadecimal 15950, octal 254520).
What is the square root of 88400?
About 297.3214, exactly 20√221.
Is 88400 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88400?
88400 is a Harshad number: divisible by its digit sum 20.