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104468 = 22721341
BaseRepresentation
bin11001100000010100
312022022012
4121200110
511320333
62123352
7613400
oct314024
9168265
10104468
1171541
1250558
1338720
142a100
1520e48
hex19814

104468 has 36 divisors (see below), whose sum is σ = 234612. Its totient is φ = 40320.

The previous prime is 104459. The next prime is 104471. The reversal of 104468 is 864401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 94864 = 98^2 + 308^2 .

104468 is a modest number, since divided by 468 gives 104 as remainder.

It is a congruent number.

It is an unprimeable number.

104468 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, 2528 + ... + 2568.

It is an arithmetic number, because the mean of its divisors is an integer number (6517).

2104468 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 104468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117306).

104468 is an abundant number, since it is smaller than the sum of its proper divisors (130144).

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

104468 is a wasteful number, since it uses less digits than its factorization.

104468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 104468 is about 323.2150986572. The cubic root of 104468 is about 47.0971282487.

Adding to 104468 its reverse (864401), we get a palindrome (968869).

The spelling of 104468 in words is "one hundred four thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 182 196 287 364 533 574 637 1066 1148 1274 2009 2132 2548 3731 4018 7462 8036 14924 26117 52234 104468