The number 57420

Q: Is 57420 a prime number?

No. 57420 = 2^2 × 3^2 × 5 × 11 × 29, so it is divisible by 2.

57420 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 11 × 29. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 29, 30 … 57420.

Number

Pick any whole number from 1 to 100,000.

57420 = 2^{2} \times 3^{2} \times 5 \times 11 \times 29

Explain it step by step in chat Make a short video of it

How to work it out

1
What is special about 57420: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
2
57420 is composite. Its prime factorisation is
$57420 = 2^{2} \times 3^{2} \times 5 \times 11 \times 29$
3
The divisors add up to 196560; without 57420 itself that is 139140, so 57420 is abundant (139140 is more than 57420). Euler's totient φ(57420) = 13440 numbers up to 57420 share no factor with it.
4
The digits of 57420 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.

LaTeX source of the formulas on this page

\[ 57420 = 2^{2} \times 3^{2} \times 5 \times 11 \times 29 \]

57420 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	196560
Euler totient φ(n)	13440
Square	3297056400
Cube	189316978488000
Square root	239.624707 (= 6√1595)
Digit sum / digital root	18 / 9
Collatz steps to 1	78
Scientific notation	5.742 × $10^{4}$

57420 in other forms

Form	Value
In words	fifty-seven thousand four hundred and twenty
Binary (base 2)	1110000001001100
Octal (base 8)	160114
Hexadecimal (base 16)	E04C
Base 3	2220202200
As time	57420 seconds = 15 h 57 min 0 s

Is 57420 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (57420 ÷ 2 = 28710)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (57420 ÷ 3 = 19140)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (57420 ÷ 4 = 14355)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (57420 ÷ 5 = 11484)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (57420 ÷ 6 = 9570)	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 (57420 ÷ 9 = 6380)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (57420 ÷ 10 = 5742)	A number is divisible by 10 if the last digit is 0.
11	Yes (57420 ÷ 11 = 5220)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (57420 ÷ 12 = 4785)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57420 a prime number?

No. 57420 = $2^{2}$ × $3^{2}$ × 5 × 11 × 29, so it is divisible by 2.

What are the factors of 57420?

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 29, 30, 33, 36, 44, 45, 55, 58, 60, 66, 87, 90, 99, 110, 116, 132, 145, 165, 174, 180, 198, 220, 261, 290, 319, 330, 348, 396, 435, 495, 522, 580, 638, 660, 870, 957, 990, 1044, 1276, 1305, 1595, 1740, 1914, 1980, 2610, 2871, 3190, 3828, 4785, 5220, 5742, 6380, 9570, 11484, 14355, 19140, 28710, 57420.

What is 57420 in binary?

1110000001001100 (hexadecimal E04C, octal 160114).

What is the square root of 57420?

About 239.6247, exactly 6√1595.

Is 57420 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 57420?

57420 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.