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632196 = 2232171033
BaseRepresentation
bin10011010010110000100
31012010012200
42122112010
5130212241
621314500
75242065
oct2322604
91163180
10632196
113a1a84
12265a30
131919a6
1412656c
15c74b6
hex9a584

632196 has 36 divisors (see below), whose sum is σ = 1693692. Its totient is φ = 198144.

The previous prime is 632189. The next prime is 632209. The reversal of 632196 is 691236.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 562500 + 69696 = 750^2 + 264^2 .

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

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

It is a congruent number.

It is an unprimeable number.

632196 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, 96 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (47047).

2632196 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 632196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846846).

632196 is an abundant number, since it is smaller than the sum of its proper divisors (1061496).

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

632196 is a wasteful number, since it uses less digits than its factorization.

632196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1055 counting only the distinct ones).

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

The square root of 632196 is about 795.1075398963. The cubic root of 632196 is about 85.8256789814.

It can be divided in two parts, 632 and 196, that added together give a palindrome (828).

The spelling of 632196 in words is "six hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1033 2066 3099 4132 6198 9297 12396 17561 18594 35122 37188 52683 70244 105366 158049 210732 316098 632196