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696132 = 223261317
BaseRepresentation
bin10101001111101000100
31022100220200
42221331010
5134234012
622530500
75626353
oct2517504
91270820
10696132
11436018
12296a30
131b4b18
1414199a
15db3dc
hexa9f44

696132 has 36 divisors (see below), whose sum is σ = 1794156. Its totient is φ = 227520.

The previous prime is 696119. The next prime is 696149. The reversal of 696132 is 231696.

It is a happy number.

696132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 665856 = 174^2 + 816^2 .

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

It is a super-2 number, since 2×6961322 = 969199522848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 696096 and 696105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 696132.

It is an unprimeable number.

696132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2038 + ... + 2354.

2696132 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 696132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897078).

696132 is an abundant number, since it is smaller than the sum of its proper divisors (1098024).

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

696132 is a wasteful number, since it uses less digits than its factorization.

696132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 696132 is about 834.3452522787. The cubic root of 696132 is about 88.6265545537.

It can be divided in two parts, 696 and 132, that added together give a palindrome (828).

The spelling of 696132 in words is "six hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 317 366 549 634 732 951 1098 1268 1902 2196 2853 3804 5706 11412 19337 38674 58011 77348 116022 174033 232044 348066 696132