Question: If a number is divisible by 3, 5, and 10, and when divided by 17 leaves a remainder of 8, what is the number?

To find the number, we need to consider its different divisibility conditions. Since the number is divisible by 3, the sum of its digits must be divisible by 3. Therefore, we check 1+5+3+0=9, which is divisible by 3. Moving on, the number is divisible by 5 if its units digit is either 0 or 5. Hence, it satisfies this condition too. Lastly, for divisibility by 10, the number must end with a zero. Therefore, the only requirement remaining is that the number leaves a remainder of 8 when divided by 17. By checking multiples of 17, we can determine that 17*90=1530 is the number we are looking for. Hence, the number is 1530. Explanation: To solve this math problem, we first use the property of divisibility by 3, where the sum of the digits should be divisible by 3. The digits of the number 1530 add up to 9, which is divisible by 3. Secondly, since the question states that the number is divisible by 5 and 10, it must end with a zero. Taking these two conditions into account fulfills the divisibility conditions so far. The final step involves finding the number that leaves a remainder of 8 when divided by 17. By using multiples of 17, we find that 1530 is the smallest possible number that satisfies this condition. Hence, the number we were searching for is 1530.

Math question: What is the sum of the digits of the number 1530?

To find the sum of the digits of 1530, we add each individual digit together. The digit 1 + 5 + 3 + 0 equals 9. Thus, the sum of the digits of 1530 is 9.

Math question: What is the sum of all the digits in the number 1530?

To find the sum of the digits in 1530, we add each digit individually: 1 + 5 + 3 + 0 = 9. Therefore, the sum of all the digits in the number 1530 is 9. This can be useful when evaluating divisibility rules or solving problems involving digital roots.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

1530 (number)

1530 is an even 4-digits composite number following 1529 and preceding 1531. In scientific notation, it is written as 1.530 × 10^3. The sum of its digits is 9. It has a total of 3 prime factors and 8 positive divisors. There are 384 positive integers (up to 1530) that are relatively prime to 1530.

Interesting facts

1530 has 8 divisors, whose sum is 2484
The reverse of 1530 is 0351
Previous prime number is 45

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	one thousand five hundred thirty

Notation

Scientific notation	1.530 × 10^3
Engineering notation	1.530 × 10^3

Prime Factorization of 1530

Prime Factorization 2 × 45 × 17

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	1530	Product of the distinct prime numbers

The prime factorization of 1530 is 2 × 45 × 17. Since it has a total of 3 prime factors.

Most popular turbo-numbers

4, 3, 17, 78, 917, 541, 3747, 5890, 75618, 91212, 334973, 445615, 4769460, 581952, 59654775, 81226823, 565394410, 801842370, 5843067010, 8245213845

Basic calculations (n = 1530)

Multiplication

n×y

n×2	3060
n×3	4590
n×4	6120
n×5	7650

Division

n÷y

n÷2	765
n÷3	510
n÷3	382.5
n÷5	306

Exponentiation

n^y

n²	2340900
n³	3581577000
n⁴	5479812810000
n⁵	8384113599300000

Nth Root

^y√n

²√n	39.115214431216
³√n	11.522953525111
⁴√n	6.2542157327051
⁵√n	4.3344928027887

Divisors of 1530

1, 2, 17, 34, 45, 90, 765, 1530

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1529	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1530 can be divided by 8 positive divisors. The sum of these divisors (counting 1530) is 1, the average is 0.125.

Base conversion 1530

Base	System	Value
2	Binary	10111111010
3	Ternary	2002200
4	Quaternary	113322
5	Quinary	22110
6	Senary	11030
8	Octal	2772
10	Decimal	1530
12	Duodecimal	a76
16	Hexadecimal	5fa
20	Vigesimal	3ga
36	Base36	16i

Cryptographic Hash Functions

md5	cb8acb1dc9821bf74e6ca9068032d623
sha1	0ad54e429b2b6238550f24701541130b978e4640
sha256	8ff9538e65e6781d654b811f88161d12455935ffb8f470815063b6ab6cb7fdff
sha512	355051ba1d636582e623824587c9d5c6e6cc4c98dc830c26b212d61d0d009b91ad062aa99c7c2a3982a3b34091c49e412d7bfaf6d57c80794e7b3c31801dd964
ripemd-160	e5815c590581e7b95ef786d8e037da0385be266a

1530 as geometric shapes

Circle

Radius = n

Diameter	3060
Circumference	9613.2735199848
Area	7354154.2427883

Sphere

Radius = n

Volume	15002474655.288
Surface area	29416616.971153
Circumference	9613.2735199848

Square

Length = n

Perimeter	6120
Area	2340900
Diagonal	2163.7467504308

Cube

Length = n

Surface area	14045400
Volume	3581577000
Space diagonal	2650.0377355804

Equilateral Triangle

Length = n

Perimeter	4590
Area	1013639.4338595
Altitude	1325.0188677902

Triangular Pyramid

Length = n

Surface area	1013639.4338595
Volume	422092897.3403
Height	721.24891681028