4068

4068 is a natural number that follows 4067 and precedes 4069. It is even and composite.

Its prime factorization is 2^2 × 3^2 × 113, which gives 18 positive divisors (the divisor count is (2+1)(2+1)(1+1) = 18). The sum of all divisors is 10374, so the sum of proper divisors is 6306. Because this exceeds the number, 4068 is an abundant number.

In base 10, the sum of the digits is 4+0+6+8 = 18, and 4068 is divisible by 18 (4068 ÷ 18 = 226); hence 4068 is a Harshad (Niven) number. It is also divisible by 9 and by 4.

Representations: in binary it is 111111100100; in hexadecimal it is 0xFE4; in octal it is 7744. In Roman numerals, 4068 can be written as MMMMLXVIII.

Equivalents and context: 4068 = 4 × 9 × 113, reflecting its prime factorization. It is not a prime, not a square, and not a triangular number. In mathematical contexts, it is noted as a standard example of an even, abundant, composite integer with several small prime factors.