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104312 = 23131759
BaseRepresentation
bin11001011101111000
312022002102
4121131320
511314222
62122532
7613055
oct313570
9168072
10104312
117140a
1250448
1338630
142a02c
1520d92
hex19778

104312 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 44544.

The previous prime is 104311. The next prime is 104323. The reversal of 104312 is 213401.

It is a happy number.

104312 is a modest number, since divided by 312 gives 104 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 104293 and 104302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1739 + ... + 1797.

2104312 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 104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

104312 is an abundant number, since it is smaller than the sum of its proper divisors (122488).

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

104312 is a wasteful number, since it uses less digits than its factorization.

104312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 104312 is about 322.9736831384. The cubic root of 104312 is about 47.0736734997.

Adding to 104312 its reverse (213401), we get a palindrome (317713).

The spelling of 104312 in words is "one hundred four thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 13 17 26 34 52 59 68 104 118 136 221 236 442 472 767 884 1003 1534 1768 2006 3068 4012 6136 8024 13039 26078 52156 104312