The number 70380

Q: Is 70380 a prime number?

No. 70380 = 2^2 × 3^2 × 5 × 17 × 23, so it is divisible by 2.

70380 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 5 × 17 × 23. Divisors (72): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 30, 34 … 70380.

Number

Pick any whole number from 1 to 100,000.

70380 = 2^{2} \times 3^{2} \times 5 \times 17 \times 23

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How to work it out

1
What is special about 70380: a Harshad number: divisible by its digit sum 18.
2
70380 is composite. Its prime factorisation is
$70380 = 2^{2} \times 3^{2} \times 5 \times 17 \times 23$
3
The divisors add up to 235872; without 70380 itself that is 165492, so 70380 is abundant (165492 is more than 70380). Euler's totient φ(70380) = 16896 numbers up to 70380 share no factor with it.
4
The digits of 70380 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 249 steps to reach 1.

LaTeX source of the formulas on this page

\[ 70380 = 2^{2} \times 3^{2} \times 5 \times 17 \times 23 \]

70380 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	235872
Euler totient φ(n)	16896
Square	4953344400
Cube	348616378872000
Square root	265.292292 (= 6√1955)
Digit sum / digital root	18 / 9
Collatz steps to 1	249
Scientific notation	7.038 × $10^{4}$

70380 in other forms

Form	Value
In words	seventy thousand three hundred and eighty
Binary (base 2)	10001001011101100
Octal (base 8)	211354
Hexadecimal (base 16)	112EC
Base 3	10120112200
As time	70380 seconds = 19 h 33 min 0 s

Is 70380 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (70380 ÷ 2 = 35190)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (70380 ÷ 3 = 23460)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (70380 ÷ 4 = 17595)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (70380 ÷ 5 = 14076)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (70380 ÷ 6 = 11730)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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 (70380 ÷ 9 = 7820)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (70380 ÷ 10 = 7038)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (70380 ÷ 12 = 5865)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70380 a prime number?

No. 70380 = $2^{2}$ × $3^{2}$ × 5 × 17 × 23, so it is divisible by 2.

What are the factors of 70380?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 23, 30, 34, 36, 45, 46, 51, 60, 68, 69, 85, 90, 92, 102, 115, 138, 153, 170, 180, 204, 207, 230, 255, 276, 306, 340, 345, 391, 414, 460, 510, 612, 690, 765, 782, 828, 1020, 1035, 1173, 1380, 1530, 1564, 1955, 2070, 2346, 3060, 3519, 3910, 4140, 4692, 5865, 7038, 7820, 11730, 14076, 17595, 23460, 35190, 70380.

What is 70380 in binary?

10001001011101100 (hexadecimal 112EC, octal 211354).

What is the square root of 70380?

About 265.2923, exactly 6√1955.

Is 70380 divisible by 3?

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

What is special about the number 70380?

70380 is a Harshad number: divisible by its digit sum 18.