The number 60440
60440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1511. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1511, 3022, 6044, 7555, 12088, 15110, 30220, 60440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60440: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60440 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 60440 itself that is 75640, so 60440 is abundant (75640 is more than 60440). Euler's totient φ(60440) = 24160 numbers up to 60440 share no factor with it.
- 4
The digits of 60440 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60440 = 2^{3} \times 5 \times 1511 \]60440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 24160 |
| Square | 3652993600 |
| Cube | 220786933184000 |
| Square root | 245.845480 (= 2√15110) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.044 × |
60440 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand four hundred and forty |
| Binary (base 2) | 1110110000011000 |
| Octal (base 8) | 166030 |
| Hexadecimal (base 16) | EC18 |
| Base 3 | 10001220112 |
| As time | 60440 seconds = 16 h 47 min 20 s |
Is 60440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60440 ÷ 2 = 30220) | 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 (60440 ÷ 4 = 15110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60440 ÷ 5 = 12088) | 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 2) | 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 (60440 ÷ 8 = 7555) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60440 ÷ 10 = 6044) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 60440 a prime number?
No. 60440 = × 5 × 1511, so it is divisible by 2.
What are the factors of 60440?
1, 2, 4, 5, 8, 10, 20, 40, 1511, 3022, 6044, 7555, 12088, 15110, 30220, 60440.
What is 60440 in binary?
1110110000011000 (hexadecimal EC18, octal 166030).
What is the square root of 60440?
About 245.8455, exactly 2√15110.
Is 60440 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60440?
60440 is a happy number: repeatedly adding the squares of its digits reaches 1.