The number 60420

Q: Is 60420 a prime number?

No. 60420 = 2^2 × 3 × 5 × 19 × 53, so it is divisible by 2.

60420 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 19 × 53. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 53, 57, 60 … 60420.

Number

Pick any whole number from 1 to 100,000.

60420 = 2^{2} \times 3 \times 5 \times 19 \times 53

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How to work it out

1
What is special about 60420: a Harshad number: divisible by its digit sum 12.
2
60420 is composite. Its prime factorisation is
$60420 = 2^{2} \times 3 \times 5 \times 19 \times 53$
3
The divisors add up to 181440; without 60420 itself that is 121020, so 60420 is abundant (121020 is more than 60420). Euler's totient φ(60420) = 14976 numbers up to 60420 share no factor with it.
4
The digits of 60420 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page

\[ 60420 = 2^{2} \times 3 \times 5 \times 19 \times 53 \]

60420 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	181440
Euler totient φ(n)	14976
Square	3650576400
Cube	220567826088000
Square root	245.804801 (= 2√15105)
Digit sum / digital root	12 / 3
Collatz steps to 1	135
Scientific notation	6.042 × $10^{4}$

60420 in other forms

Form	Value
In words	sixty thousand four hundred and twenty
Binary (base 2)	1110110000000100
Octal (base 8)	166004
Hexadecimal (base 16)	EC04
Base 3	10001212210
As time	60420 seconds = 16 h 47 min 0 s

Is 60420 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (60420 ÷ 2 = 30210)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (60420 ÷ 3 = 20140)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (60420 ÷ 4 = 15105)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (60420 ÷ 5 = 12084)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (60420 ÷ 6 = 10070)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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 (60420 ÷ 10 = 6042)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (60420 ÷ 12 = 5035)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60420 a prime number?

No. 60420 = $2^{2}$ × 3 × 5 × 19 × 53, so it is divisible by 2.

What are the factors of 60420?

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 53, 57, 60, 76, 95, 106, 114, 159, 190, 212, 228, 265, 285, 318, 380, 530, 570, 636, 795, 1007, 1060, 1140, 1590, 2014, 3021, 3180, 4028, 5035, 6042, 10070, 12084, 15105, 20140, 30210, 60420.

What is 60420 in binary?

1110110000000100 (hexadecimal EC04, octal 166004).

What is the square root of 60420?

About 245.8048, exactly 2√15105.

Is 60420 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 60420?

60420 is a Harshad number: divisible by its digit sum 12.