The number 57540

Q: Is 57540 a prime number?

No. 57540 = 2^2 × 3 × 5 × 7 × 137, so it is divisible by 2.

57540 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 137. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 57540.

Number

Pick any whole number from 1 to 100,000.

57540 = 2^{2} \times 3 \times 5 \times 7 \times 137

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How to work it out

1
What is special about 57540: a Harshad number: divisible by its digit sum 21.
2
57540 is composite. Its prime factorisation is
$57540 = 2^{2} \times 3 \times 5 \times 7 \times 137$
3
The divisors add up to 185472; without 57540 itself that is 127932, so 57540 is abundant (127932 is more than 57540). Euler's totient φ(57540) = 13056 numbers up to 57540 share no factor with it.
4
The digits of 57540 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.

LaTeX source of the formulas on this page

\[ 57540 = 2^{2} \times 3 \times 5 \times 7 \times 137 \]

57540 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	185472
Euler totient φ(n)	13056
Square	3310851600
Cube	190506401064000
Square root	239.874967 (= 2√14385)
Digit sum / digital root	21 / 3
Collatz steps to 1	166
Scientific notation	5.754 × $10^{4}$

57540 in other forms

Form	Value
In words	fifty-seven thousand five hundred and forty
Binary (base 2)	1110000011000100
Octal (base 8)	160304
Hexadecimal (base 16)	E0C4
Base 3	2220221010
As time	57540 seconds = 15 h 59 min 0 s

Is 57540 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (57540 ÷ 2 = 28770)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (57540 ÷ 3 = 19180)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (57540 ÷ 4 = 14385)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (57540 ÷ 5 = 11508)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (57540 ÷ 6 = 9590)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (57540 ÷ 7 = 8220)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (57540 ÷ 10 = 5754)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (57540 ÷ 12 = 4795)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57540 a prime number?

No. 57540 = $2^{2}$ × 3 × 5 × 7 × 137, so it is divisible by 2.

What are the factors of 57540?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 137, 140, 210, 274, 411, 420, 548, 685, 822, 959, 1370, 1644, 1918, 2055, 2740, 2877, 3836, 4110, 4795, 5754, 8220, 9590, 11508, 14385, 19180, 28770, 57540.

What is 57540 in binary?

1110000011000100 (hexadecimal E0C4, octal 160304).

What is the square root of 57540?

About 239.8750, exactly 2√14385.

Is 57540 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 57540?

57540 is a Harshad number: divisible by its digit sum 21.