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12104 = 231789
BaseRepresentation
bin10111101001000
3121121022
42331020
5341404
6132012
750201
oct27510
917538
1012104
119104
127008
135681
1445a8
1538be
hex2f48

12104 has 16 divisors (see below), whose sum is σ = 24300. Its totient is φ = 5632.

The previous prime is 12101. The next prime is 12107. The reversal of 12104 is 40121.

12104 = T19 + T20 + ... + T42.

12104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12101) and next prime (12107).

It can be written as a sum of positive squares in 2 ways, for example, as 12100 + 4 = 110^2 + 2^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12091 and 12100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 92 + ... + 180.

12104 is a Friedman number, since it can be written as 110^2+4, using all its digits and the basic arithmetic operations.

212104 is an apocalyptic number.

It is an amenable number.

12104 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150).

12104 is a wasteful number, since it uses less digits than its factorization.

12104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 12104 is about 110.0181803158. The cubic root of 12104 is about 22.9602337425.

Adding to 12104 its reverse (40121), we get a palindrome (52225).

The spelling of 12104 in words is "twelve thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 17 34 68 89 136 178 356 712 1513 3026 6052 12104