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196729 = 1337409
BaseRepresentation
bin110000000001111001
3100222212021
4300001321
522243404
64114441
71446361
oct600171
9328767
10196729
11124895
1295a21
136b710
14519a1
153d454
hex30079

196729 has 8 divisors (see below), whose sum is σ = 218120. Its totient is φ = 176256.

The previous prime is 196727. The next prime is 196739. The reversal of 196729 is 927691.

It can be written as a sum of positive squares in 4 ways, for example, as 75625 + 121104 = 275^2 + 348^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 196729 - 21 = 196727 is a prime.

It is a Duffinian number.

196729 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 196694 and 196703.

It is not an unprimeable number, because it can be changed into a prime (196727) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 277 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (27265).

2196729 is an apocalyptic number.

It is an amenable number.

196729 is a deficient number, since it is larger than the sum of its proper divisors (21391).

196729 is a wasteful number, since it uses less digits than its factorization.

196729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459.

The product of its digits is 6804, while the sum is 34.

The square root of 196729 is about 443.5414298575. The cubic root of 196729 is about 58.1597853216.

It can be divided in two parts, 196 and 729, that multiplied together give a square (142884 = 3782).

The spelling of 196729 in words is "one hundred ninety-six thousand, seven hundred twenty-nine".

Divisors: 1 13 37 409 481 5317 15133 196729