193536

193,536 is a natural number that follows 193,535 and precedes 193,537. It is an even composite number with a prime factorization of 2^10 × 3^3 × 7 (that is, 1024 × 27 × 7 = 193,536).

The number has 88 positive divisors, calculated from its prime factorization as (10+1) × (3+1) × (1+1). The sum of all positive divisors is 655,040, which yields a sum of proper divisors equal to 461,504. Because this latter value exceeds 193,536, the number is abundant.

In base 10, 193,536 is a Harshad (niven) number since the sum of its digits is 1+9+3+5+3+6 = 27, and 193,536 is divisible by 27 (193,536 ÷ 27 = 7,168). The number can also be expressed as 1024 × 189, illustrating its factorization as 2^10 × 3^3 × 7.

Binary and hexadecimal representations reflect its factorization. Since 193,536 = 189 × 2^10, its binary form is the binary of 189 shifted left by 10 bits; 189 in binary is 10111101, so the binary form is 10111101 followed by ten zeros. In hexadecimal, 193,536 equals 0x2F400.

There is no widely noted cultural or historical significance attached to 193,536; it is primarily of interest for its arithmetic properties and its factorization structure.