The number 88040
88040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 31 × 71. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 71, 124, 142, 155, 248, 284 … 88040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88040: a Harshad number: divisible by its digit sum 20.
- 2
88040 is composite. Its prime factorisation is
- 3
The divisors add up to 207360; without 88040 itself that is 119320, so 88040 is abundant (119320 is more than 88040). Euler's totient φ(88040) = 33600 numbers up to 88040 share no factor with it.
- 4
The digits of 88040 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88040 = 2^{3} \times 5 \times 31 \times 71 \]88040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 207360 |
| Euler totient φ(n) | 33600 |
| Square | 7751041600 |
| Cube | 682401702464000 |
| Square root | 296.715352 (= 2√22010) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 177 |
| Scientific notation | 8.804 × |
88040 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and forty |
| Binary (base 2) | 10101011111101000 |
| Octal (base 8) | 253750 |
| Hexadecimal (base 16) | 157E8 |
| Base 3 | 11110202202 |
| As time | 88040 seconds = 24 h 27 min 20 s |
Is 88040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88040 ÷ 2 = 44020) | 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 (88040 ÷ 4 = 22010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88040 ÷ 5 = 17608) | 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 1) | 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 (88040 ÷ 8 = 11005) | 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 (88040 ÷ 10 = 8804) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 88040 a prime number?
No. 88040 = × 5 × 31 × 71, so it is divisible by 2.
What are the factors of 88040?
1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 71, 124, 142, 155, 248, 284, 310, 355, 568, 620, 710, 1240, 1420, 2201, 2840, 4402, 8804, 11005, 17608, 22010, 44020, 88040.
What is 88040 in binary?
10101011111101000 (hexadecimal 157E8, octal 253750).
What is the square root of 88040?
About 296.7154, exactly 2√22010.
Is 88040 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88040?
88040 is a Harshad number: divisible by its digit sum 20.