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104196456 = 23357131931
BaseRepresentation
bin1100011010111…
…10100101101000
321021001201200000
412031132211220
5203133241311
614201143000
72403440520
oct615364550
9237051600
10104196456
11538a8381
122aa8aa60
1318782910
14dba4680
159233056
hex635e968

104196456 has 384 divisors, whose sum is σ = 391372800. Its totient is φ = 25194240.

The previous prime is 104196427. The next prime is 104196481. The reversal of 104196456 is 654691401.

104196456 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104196456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361161 + ... + 3361191.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 2104196456 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 104196456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

104196456 is an abundant number, since it is smaller than the sum of its proper divisors (287176344).

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

104196456 is a wasteful number, since it uses less digits than its factorization.

104196456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 104196456 is about 10207.6665306034. Note that the first 3 decimals coincide. The cubic root of 104196456 is about 470.5628627031.

The spelling of 104196456 in words is "one hundred four million, one hundred ninety-six thousand, four hundred fifty-six".