The number 72380
72380 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 11 × 47. Divisors (48): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 47, 55, 70 … 72380.
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How to work it out
- 1
What is special about 72380: a Harshad number: divisible by its digit sum 20.
- 2
72380 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 72380 itself that is 121156, so 72380 is abundant (121156 is more than 72380). Euler's totient φ(72380) = 22080 numbers up to 72380 share no factor with it.
- 4
The digits of 72380 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72380 = 2^{2} \times 5 \times 7 \times 11 \times 47 \]72380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 22080 |
| Square | 5238864400 |
| Cube | 379189005272000 |
| Square root | 269.035314 (= 2√18095) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.238 × |
72380 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand three hundred and eighty |
| Binary (base 2) | 10001101010111100 |
| Octal (base 8) | 215274 |
| Hexadecimal (base 16) | 11ABC |
| Base 3 | 10200021202 |
| As time | 72380 seconds = 20 h 6 min 20 s |
Is 72380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72380 ÷ 2 = 36190) | 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 (72380 ÷ 4 = 18095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72380 ÷ 5 = 14476) | 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 | Yes (72380 ÷ 7 = 10340) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72380 ÷ 10 = 7238) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72380 ÷ 11 = 6580) | 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 72380 a prime number?
No. 72380 = × 5 × 7 × 11 × 47, so it is divisible by 2.
What are the factors of 72380?
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 47, 55, 70, 77, 94, 110, 140, 154, 188, 220, 235, 308, 329, 385, 470, 517, 658, 770, 940, 1034, 1316, 1540, 1645, 2068, 2585, 3290, 3619, 5170, 6580, 7238, 10340, 14476, 18095, 36190, 72380.
What is 72380 in binary?
10001101010111100 (hexadecimal 11ABC, octal 215274).
What is the square root of 72380?
About 269.0353, exactly 2√18095.
Is 72380 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72380?
72380 is a Harshad number: divisible by its digit sum 20.