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193986 = 23213829
BaseRepresentation
bin101111010111000010
3100212002200
4233113002
522201421
64054030
71435362
oct572702
9325080
10193986
11122821
1294316
136a3b0
14509a2
153c726
hex2f5c2

193986 has 24 divisors (see below), whose sum is σ = 453180. Its totient is φ = 59616.

The previous prime is 193979. The next prime is 193993. The reversal of 193986 is 689391.

It is an interprime number because it is at equal distance from previous prime (193979) and next prime (193993).

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 4761 = 435^2 + 69^2 .

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 193986.

It is an unprimeable number.

193986 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 648.

2193986 is an apocalyptic number.

193986 is an abundant number, since it is smaller than the sum of its proper divisors (259194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193986 is a wasteful number, since it uses less digits than its factorization.

193986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 193986 is about 440.4384179428. The cubic root of 193986 is about 57.8882111537. Note that the first 3 decimals are identical.

It can be divided in two parts, 1939 and 86, that added together give a square (2025 = 452).

The spelling of 193986 in words is "one hundred ninety-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 829 1658 2487 4974 7461 10777 14922 21554 32331 64662 96993 193986