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104196 = 22319457
BaseRepresentation
bin11001011100000100
312021221010
4121130010
511313241
62122220
7612531
oct313404
9167833
10104196
1171314
1250370
1338571
1429d88
1520d16
hex19704

104196 has 24 divisors (see below), whose sum is σ = 256480. Its totient is φ = 32832.

The previous prime is 104183. The next prime is 104207. The reversal of 104196 is 691401.

104196 is a nontrivial binomial coefficient, being equal to C(457, 2).

It is an unprimeable number.

104196 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 456.

2104196 is an apocalyptic number.

104196 is the 456-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128240).

104196 is an abundant number, since it is smaller than the sum of its proper divisors (152284).

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

104196 is a wasteful number, since it uses less digits than its factorization.

104196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 104196 is about 322.7940519898. The cubic root of 104196 is about 47.0562176253.

Adding to 104196 its reverse (691401), we get a palindrome (795597).

It can be divided in two parts, 104 and 196, that added together give a triangular number (300 = T24).

The spelling of 104196 in words is "one hundred four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 457 914 1371 1828 2742 5484 8683 17366 26049 34732 52098 104196