15066

15066 is a natural number that follows 15065 and precedes 15067. It is an even and composite number, not a prime, and it serves as a reference point in various arithmetic contexts.

The prime factorization of 15066 is 2 × 3^5 × 31. From this factorization, the number has 24 positive divisors. Because it contains factors 2 and 3, it is divisible by several common multiples such as 6, 9, 18, 27, and 54, among others. The digit sum (1+5+0+6+6 = 18) confirms divisibility by 9, and the full factorization shows divisibility by 27 as well as by 93 and 162.

In terms of number theory properties, 15066 is an abundant number, since the sum of its proper divisors equals 19878, which exceeds the number itself. Its divisors include combinations of the prime factors 2, 3, and 31, such as 1, 2, 3, 6, 9, 18, 27, 54, 93, 162, 31, and many others within the 24-divisor set.

Representations of 15066 in different bases include decimal 15066, binary 11101011011010, octal 35332, and hexadecimal 3ADA. These representations reflect its factorization properties and help illustrate its structure across numeral systems.

See also: adjacent integers 15065 and 15067, and related factors 2, 3, 31, and 3^5.