The number 59940
59940 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 37. Divisors (60): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 37 … 59940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59940: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
59940 is composite. Its prime factorisation is
- 3
The divisors add up to 193116; without 59940 itself that is 133176, so 59940 is abundant (133176 is more than 59940). Euler's totient φ(59940) = 15552 numbers up to 59940 share no factor with it.
- 4
The digits of 59940 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59940 = 2^{2} \times 3^{4} \times 5 \times 37 \]59940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 193116 |
| Euler totient φ(n) | 15552 |
| Square | 3592803600 |
| Cube | 215352647784000 |
| Square root | 244.826469 (= 18√185) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.994 × |
59940 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and forty |
| Binary (base 2) | 1110101000100100 |
| Octal (base 8) | 165044 |
| Hexadecimal (base 16) | EA24 |
| Base 3 | 10001020000 |
| As time | 59940 seconds = 16 h 39 min 0 s |
Is 59940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59940 ÷ 2 = 29970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59940 ÷ 3 = 19980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59940 ÷ 4 = 14985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59940 ÷ 5 = 11988) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59940 ÷ 6 = 9990) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59940 ÷ 9 = 6660) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59940 ÷ 10 = 5994) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (59940 ÷ 12 = 4995) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59940 a prime number?
No. 59940 = × × 5 × 37, so it is divisible by 2.
What are the factors of 59940?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 37, 45, 54, 60, 74, 81, 90, 108, 111, 135, 148, 162, 180, 185, 222, 270, 324, 333, 370, 405, 444, 540, 555, 666, 740, 810, 999, 1110, 1332, 1620, 1665, 1998, 2220, 2997, 3330, 3996, 4995, 5994, 6660, 9990, 11988, 14985, 19980, 29970, 59940.
What is 59940 in binary?
1110101000100100 (hexadecimal EA24, octal 165044).
What is the square root of 59940?
About 244.8265, exactly 18√185.
Is 59940 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59940?
59940 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.