6090

6090 is a natural number that follows 6089 and precedes 6091. It is even and composite, with several notable arithmetic properties.

In prime factorization terms, 6090 = 2 × 3 × 5 × 7 × 29. Because it has five distinct prime factors, it has 2^5 = 32 positive divisors. The sum of all divisors is (2+1) × (3+1) × (5+1) × (7+1) × (29+1) = 3 × 4 × 6 × 8 × 30 = 17280, making the sum of proper divisors 17280 − 6090 = 11190. Since the sum of proper divisors exceeds the number itself, 6090 is an abundant number. It is also a Harshad (or Niven) number in base 10, because 6090 is divisible by the sum of its digits (6 + 0 + 9 + 0 = 15; 6090 ÷ 15 = 406).

In base representations, 6090 decimal equals 1011111001010 in binary, 0x17CA in hexadecimal, and 13712 in octal (6090_10 = 0b1011111001010 = 0x17CA = 013712_8). These representations illustrate its different forms across numeral systems.

Beyond pure mathematics, 6090 can appear as an identifying code, model number, or catalog listing in various contexts, but there is no single widely recognized meaning associated with it.