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196704 = 2532683
BaseRepresentation
bin110000000001100000
3100222211100
4300001200
522243304
64114400
71446324
oct600140
9328740
10196704
11124872
1295a00
136b6c1
1451984
153d439
hex30060

196704 has 36 divisors (see below), whose sum is σ = 560196. Its totient is φ = 65472.

The previous prime is 196699. The next prime is 196709. The reversal of 196704 is 407691.

196704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196699) and next prime (196709).

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 196704.

It is not an unprimeable number, because it can be changed into a prime (196709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2196704 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 196704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

196704 is an abundant number, since it is smaller than the sum of its proper divisors (363492).

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

196704 is a wasteful number, since it uses less digits than its factorization.

196704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 196704 is about 443.5132467018. The cubic root of 196704 is about 58.1573216004.

It can be divided in two parts, 196 and 704, that added together give a square (900 = 302).

The spelling of 196704 in words is "one hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 21856 24588 32784 49176 65568 98352 196704