The number 59920
59920 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 107. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 59920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59920 is composite. Its prime factorisation is
- 3
The divisors add up to 160704; without 59920 itself that is 100784, so 59920 is abundant (100784 is more than 59920). Euler's totient φ(59920) = 20352 numbers up to 59920 share no factor with it.
- 4
The digits of 59920 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59920 = 2^{4} \times 5 \times 7 \times 107 \]59920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 160704 |
| Euler totient φ(n) | 20352 |
| Square | 3590406400 |
| Cube | 215137151488000 |
| Square root | 244.785620 (= 4√3745) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.992 × |
59920 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and twenty |
| Binary (base 2) | 1110101000010000 |
| Octal (base 8) | 165020 |
| Hexadecimal (base 16) | EA10 |
| Base 3 | 10001012021 |
| As time | 59920 seconds = 16 h 38 min 40 s |
Is 59920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59920 ÷ 2 = 29960) | 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 (59920 ÷ 4 = 14980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59920 ÷ 5 = 11984) | 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 | Yes (59920 ÷ 7 = 8560) | 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 (59920 ÷ 8 = 7490) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (59920 ÷ 10 = 5992) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 59920 a prime number?
No. 59920 = × 5 × 7 × 107, so it is divisible by 2.
What are the factors of 59920?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 107, 112, 140, 214, 280, 428, 535, 560, 749, 856, 1070, 1498, 1712, 2140, 2996, 3745, 4280, 5992, 7490, 8560, 11984, 14980, 29960, 59920.
What is 59920 in binary?
1110101000010000 (hexadecimal EA10, octal 165020).
What is the square root of 59920?
About 244.7856, exactly 4√3745.
Is 59920 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59920?
It is a composite number with 40 divisors.