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104676 = 223111361
BaseRepresentation
bin11001100011100100
312022120220
4121203210
511322201
62124340
7614115
oct314344
9168526
10104676
1171710
12506b0
1338850
142a20c
1521036
hex198e4

104676 has 48 divisors (see below), whose sum is σ = 291648. Its totient is φ = 28800.

The previous prime is 104659. The next prime is 104677. The reversal of 104676 is 676401.

It is not an unprimeable number, because it can be changed into a prime (104677) by changing a digit.

104676 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 15 ways as a sum of consecutive naturals, for example, 1686 + ... + 1746.

It is an arithmetic number, because the mean of its divisors is an integer number (6076).

2104676 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 104676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

104676 is an abundant number, since it is smaller than the sum of its proper divisors (186972).

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

104676 is a wasteful number, since it uses less digits than its factorization.

104676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 104676 is about 323.5367058001. The cubic root of 104676 is about 47.1283649538.

It can be divided in two parts, 104 and 676, that added together give a triangular number (780 = T39).

The spelling of 104676 in words is "one hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 183 244 286 366 429 572 671 732 793 858 1342 1586 1716 2013 2379 2684 3172 4026 4758 8052 8723 9516 17446 26169 34892 52338 104676