Question: What is the smallest prime number greater than 1516 that is also a multiple of 3 but not divisible by 5?

To find the smallest prime number greater than 1516, we start by checking if 1517 satisfies the given conditions. Since 1517 is divisible by both 3 and 5, it is not a solution. Similarly, 1518 is divisible by 3 and 6, while 1519 and 1520 are not prime. Moving on to 1521, it is divisible by 3 but not by 5, making it a potential answer. However, 1521 is not a prime number since it is equal to 39². Therefore, we continue the search and find that 1523 is a prime number that satisfies the conditions. Thus, the smallest prime number greater than 1516 that is a multiple of 3 but not divisible by 5 is 1523.

Math Question: What is the sum of the positive divisors of 1516?

To find the sum of the positive divisors of 1516, we need to determine its prime factorization. Breaking it down, we have 2² × 379. Now, consider all combinations of the exponents of the prime factors. For 2², we have (2⁰, 2¹, 2²). And for 379, we only have (379⁰, 379¹). To find the sum of divisors, we multiply these combinations to get: (2⁰ × 379⁰) + (2¹ × 379⁰) + (2² × 379⁰) + (2⁰ × 379¹) Simplifying, this becomes: 1 + 2 + 4 + 379 = 386 Hence, the sum of the positive divisors of 1516 is 386.

Math Question: What is the sum of all the odd numbers between 1516 and 2000, inclusive?

To find the sum of odd numbers between 1516 and 2000, we first need to determine the number of odd numbers in that range. We can do this by finding the difference between the highest and the lowest odd numbers (2000 - 1516 = 484), then divide it by 2 and add 1 since odd numbers are spaced 2 apart (484/2 + 1 = 243). The formula to find the sum of a sequence is Sn = (n/2) * (a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. In this case, a = 1517 and l = 1999 (the first and last odd numbers in the range). Plugging in the values, we get Sn = (243/2) * (1517 + 1999) = 243 * 3516 = 850,488. Therefore, the sum of all odd numbers between 1516 and 2000 is 850,488.

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

1516 (number)

1516 is an even 4-digits composite number following 1515 and preceding 1517. In scientific notation, it is written as 1.516 × 10^3. The sum of its digits is 13. It has a total of 3 prime factors and 6 positive divisors. There are 756 positive integers (up to 1516) that are relatively prime to 1516.

Interesting facts

1516 has 6 divisors, whose sum is 2660
The reverse of 1516 is 6151
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	one thousand five hundred sixteen

Notation

Scientific notation	1.516 × 10^3
Engineering notation	1.516 × 10^3

Prime Factorization of 1516

Prime Factorization 2 × 2 × 379

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	758	Product of the distinct prime numbers

The prime factorization of 1516 is 2 × 2 × 379. Since it has a total of 3 prime factors.

Most popular turbo-numbers

6, 5, 31, 63, 212, 126, 4822, 6466, 50548, 36312, 607716, 642864, 6087108, 9821343, 96371179, 77043332, 457494142, 903679887, 8016375392, 9749725650

Basic calculations (n = 1516)

Multiplication

n×y

n×2	3032
n×3	4548
n×4	6064
n×5	7580

Division

n÷y

n÷2	758
n÷3	505.33333333333
n÷3	379
n÷5	303.2

Exponentiation

n^y

n²	2298256
n³	3484156096
n⁴	5281980641536
n⁵	8007482652568576

Nth Root

^y√n

²√n	38.935844667864
³√n	11.487699513404
⁴√n	6.2398593468013
⁵√n	4.3265312035912

Divisors of 1516

1, 2, 4, 379, 758, 1516

6 divisors

τ	Total Divisors	6	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1515	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.16666666666667	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	6	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1516 can be divided by 6 positive divisors. The sum of these divisors (counting 1516) is 1, the average is 0.16666666666667.

Base conversion 1516

Base	System	Value
2	Binary	10111101100
3	Ternary	2002011
4	Quaternary	113230
5	Quinary	22031
6	Senary	11004
8	Octal	2754
10	Decimal	1516
12	Duodecimal	a64
16	Hexadecimal	5ec
20	Vigesimal	3fg
36	Base36	164

Cryptographic Hash Functions

md5	490640b43519c77281cb2f8471e61a71
sha1	635c86e575ed2ca9cf4bca9b0dce0c5fc99df7d0
sha256	17c7f8a2457a4b725d6d5f6b2e2ac67bd74933d9633436bd2756a6920ef5a705
sha512	c78009afd46c4763b456f98b4b453ab555cbf3dd861d8e7a04ba9d4900083078728afab736dfa956d7bc295c4b1b50cf196190706aa345793ea1072898472cc6
ripemd-160	a328d5fa8141e8802233176c1ec8b40eebffb126

1516 as geometric shapes

Circle

Radius = n

Diameter	3032
Circumference	9525.3089256843
Area	7220184.1656687

Sphere

Radius = n

Volume	14594398926.872
Surface area	28880736.662675
Circumference	9525.3089256843

Square

Length = n

Perimeter	6064
Area	2298256
Diagonal	2143.9477605576

Cube

Length = n

Surface area	13789536
Volume	3484156096
Space diagonal	2625.7890242744

Equilateral Triangle

Length = n

Perimeter	4548
Area	995174.0402
Altitude	1312.8945121372

Triangular Pyramid

Length = n

Surface area	995174.0402
Volume	410611733.69901
Height	714.6492535192