The number 60040
60040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 79. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 79, 95, 152, 158, 190 … 60040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60040: a Harshad number: divisible by its digit sum 10.
- 2
60040 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 60040 itself that is 83960, so 60040 is abundant (83960 is more than 60040). Euler's totient φ(60040) = 22464 numbers up to 60040 share no factor with it.
- 4
The digits of 60040 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60040 = 2^{3} \times 5 \times 19 \times 79 \]60040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 22464 |
| Square | 3604801600 |
| Cube | 216432288064000 |
| Square root | 245.030610 (= 2√15010) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.004 × |
60040 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and forty |
| Binary (base 2) | 1110101010001000 |
| Octal (base 8) | 165210 |
| Hexadecimal (base 16) | EA88 |
| Base 3 | 10001100201 |
| As time | 60040 seconds = 16 h 40 min 40 s |
Is 60040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60040 ÷ 2 = 30020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60040 ÷ 4 = 15010) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60040 ÷ 5 = 12008) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (60040 ÷ 8 = 7505) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60040 ÷ 10 = 6004) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60040 a prime number?
No. 60040 = × 5 × 19 × 79, so it is divisible by 2.
What are the factors of 60040?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 79, 95, 152, 158, 190, 316, 380, 395, 632, 760, 790, 1501, 1580, 3002, 3160, 6004, 7505, 12008, 15010, 30020, 60040.
What is 60040 in binary?
1110101010001000 (hexadecimal EA88, octal 165210).
What is the square root of 60040?
About 245.0306, exactly 2√15010.
Is 60040 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 60040?
60040 is a Harshad number: divisible by its digit sum 10.