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196536 = 23319431
BaseRepresentation
bin101111111110111000
3100222121010
4233332320
522242121
64113520
71445664
oct577670
9328533
10196536
1112472a
12958a0
136b5c2
14518a4
153d376
hex2ffb8

196536 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 61920.

The previous prime is 196523. The next prime is 196541. The reversal of 196536 is 635691.

It is a happy number.

196536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

196536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2196536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

196536 is an abundant number, since it is smaller than the sum of its proper divisors (321864).

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

196536 is a wasteful number, since it uses less digits than its factorization.

196536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 196536 is about 443.3238094215. The cubic root of 196536 is about 58.1407599767.

It can be divided in two parts, 19 and 6536, that added together give a triangular number (6555 = T114).

The spelling of 196536 in words is "one hundred ninety-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 431 456 862 1293 1724 2586 3448 5172 8189 10344 16378 24567 32756 49134 65512 98268 196536