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123204 = 22310267
BaseRepresentation
bin11110000101000100
320021000010
4132011010
512420304
62350220
71022124
oct360504
9207003
10123204
1184624
125b370
1344103
1432c84
1526789
hex1e144

123204 has 12 divisors (see below), whose sum is σ = 287504. Its totient is φ = 41064.

The previous prime is 123203. The next prime is 123209. The reversal of 123204 is 402321.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 10267 = 123204 / (1 + 2 + 3 + 2 + 0 + 4).

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 123204.

It is not an unprimeable number, because it can be changed into a prime (123203) 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, 5122 + ... + 5145.

2123204 is an apocalyptic number.

It is an amenable number.

123204 is an abundant number, since it is smaller than the sum of its proper divisors (164300).

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

123204 is a wasteful number, since it uses less digits than its factorization.

123204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 123204 is about 351.0042734783. The cubic root of 123204 is about 49.7593772043.

Adding to 123204 its reverse (402321), we get a palindrome (525525).

The spelling of 123204 in words is "one hundred twenty-three thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 10267 20534 30801 41068 61602 123204