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196956 = 22325471
BaseRepresentation
bin110000000101011100
3101000011200
4300011130
522300311
64115500
71450134
oct600534
9330150
10196956
11124a81
1295b90
136b856
1451ac4
153d556
hex3015c

196956 has 18 divisors (see below), whose sum is σ = 497952. Its totient is φ = 65640.

The previous prime is 196927. The next prime is 196961. The reversal of 196956 is 659691.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5471 = 196956 / (1 + 9 + 6 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 196956.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2700 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2196956 is an apocalyptic number.

It is an amenable number.

196956 is an abundant number, since it is smaller than the sum of its proper divisors (300996).

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

196956 is a wasteful number, since it uses less digits than its factorization.

196956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5476 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 196956 is about 443.7972510055. The cubic root of 196956 is about 58.1821463642.

It can be divided in two parts, 19695 and 6, that added together give a triangular number (19701 = T198).

The spelling of 196956 in words is "one hundred ninety-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 5471 10942 16413 21884 32826 49239 65652 98478 196956