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104936 = 23131009
BaseRepresentation
bin11001100111101000
312022221112
4121213220
511324221
62125452
7614636
oct314750
9168845
10104936
1171927
1250888
13389c0
142a356
152115b
hex199e8

104936 has 16 divisors (see below), whose sum is σ = 212100. Its totient is φ = 48384.

The previous prime is 104933. The next prime is 104947. The reversal of 104936 is 639401.

It can be written as a sum of positive squares in 2 ways, for example, as 96100 + 8836 = 310^2 + 94^2 .

It is a super-2 number, since 2×1049362 = 22023128192, which contains 22 as substring.

104936 is a modest number, since divided by 936 gives 104 as remainder.

It is not an unprimeable number, because it can be changed into a prime (104933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 401 + ... + 608.

2104936 is an apocalyptic number.

It is an amenable number.

104936 is an abundant number, since it is smaller than the sum of its proper divisors (107164).

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

104936 is a wasteful number, since it uses less digits than its factorization.

104936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 104936 is about 323.9382657236. The cubic root of 104936 is about 47.1673526990.

It can be divided in two parts, 104 and 936, that multiplied together give a square (97344 = 3122).

The spelling of 104936 in words is "one hundred four thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 1009 2018 4036 8072 13117 26234 52468 104936