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696164 = 22723247
BaseRepresentation
bin10101001111101100100
31022100221212
42221331210
5134234124
622530552
75626430
oct2517544
91270855
10696164
11436047
12296a58
131b4b41
141419c0
15db40e
hexa9f64

696164 has 36 divisors (see below), whose sum is σ = 1486464. Its totient is φ = 279312.

The previous prime is 696149. The next prime is 696181. The reversal of 696164 is 461696.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 696164.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 696164.

It is an unprimeable number.

696164 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14789 + ... + 14835.

2696164 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 696164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743232).

696164 is an abundant number, since it is smaller than the sum of its proper divisors (790300).

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

696164 is a wasteful number, since it uses less digits than its factorization.

696164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 696164 is about 834.3644287720. The cubic root of 696164 is about 88.6279125367.

The spelling of 696164 in words is "six hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 47 92 94 161 188 322 329 529 644 658 1058 1081 1316 2116 2162 3703 4324 7406 7567 14812 15134 24863 30268 49726 99452 174041 348082 696164