The number 59220

Q: Is 59220 a prime number?

No. 59220 = 2^2 × 3^2 × 5 × 7 × 47, so it is divisible by 2.

59220 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 7 × 47. Divisors (72): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28 … 59220.

Number

Pick any whole number from 1 to 100,000.

59220 = 2^{2} \times 3^{2} \times 5 \times 7 \times 47

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How to work it out

1
What is special about 59220: a Harshad number: divisible by its digit sum 18.
2
59220 is composite. Its prime factorisation is
$59220 = 2^{2} \times 3^{2} \times 5 \times 7 \times 47$
3
The divisors add up to 209664; without 59220 itself that is 150444, so 59220 is abundant (150444 is more than 59220). Euler's totient φ(59220) = 13248 numbers up to 59220 share no factor with it.
4
The digits of 59220 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 135 steps to reach 1.

LaTeX source of the formulas on this page

\[ 59220 = 2^{2} \times 3^{2} \times 5 \times 7 \times 47 \]

59220 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	209664
Euler totient φ(n)	13248
Square	3507008400
Cube	207685037448000
Square root	243.351597 (= 6√1645)
Digit sum / digital root	18 / 9
Collatz steps to 1	135
Scientific notation	5.922 × $10^{4}$

59220 in other forms

Form	Value
In words	fifty-nine thousand two hundred and twenty
Binary (base 2)	1110011101010100
Octal (base 8)	163524
Hexadecimal (base 16)	E754
Base 3	10000020100
As time	59220 seconds = 16 h 27 min 0 s

Is 59220 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (59220 ÷ 2 = 29610)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (59220 ÷ 3 = 19740)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (59220 ÷ 4 = 14805)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (59220 ÷ 5 = 11844)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (59220 ÷ 6 = 9870)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (59220 ÷ 7 = 8460)	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 (59220 ÷ 9 = 6580)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (59220 ÷ 10 = 5922)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 7)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (59220 ÷ 12 = 4935)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59220 a prime number?

No. 59220 = $2^{2}$ × $3^{2}$ × 5 × 7 × 47, so it is divisible by 2.

What are the factors of 59220?

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 47, 60, 63, 70, 84, 90, 94, 105, 126, 140, 141, 180, 188, 210, 235, 252, 282, 315, 329, 420, 423, 470, 564, 630, 658, 705, 846, 940, 987, 1260, 1316, 1410, 1645, 1692, 1974, 2115, 2820, 2961, 3290, 3948, 4230, 4935, 5922, 6580, 8460, 9870, 11844, 14805, 19740, 29610, 59220.

What is 59220 in binary?

1110011101010100 (hexadecimal E754, octal 163524).

What is the square root of 59220?

About 243.3516, exactly 6√1645.

Is 59220 divisible by 3?

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

What is special about the number 59220?

59220 is a Harshad number: divisible by its digit sum 18.