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123804 = 223219181
BaseRepresentation
bin11110001110011100
320021211100
4132032130
512430204
62353100
71023642
oct361634
9207740
10123804
118501a
125b790
1344475
1433192
1526a39
hex1e39c

123804 has 36 divisors (see below), whose sum is σ = 331240. Its totient is φ = 38880.

The previous prime is 123803. The next prime is 123817. The reversal of 123804 is 408321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594 + ... + 774.

2123804 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 123804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165620).

123804 is an abundant number, since it is smaller than the sum of its proper divisors (207436).

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

123804 is a wasteful number, since it uses less digits than its factorization.

123804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123804 is about 351.8579258735. The cubic root of 123804 is about 49.8400220202.

The spelling of 123804 in words is "one hundred twenty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 181 228 342 362 543 684 724 1086 1629 2172 3258 3439 6516 6878 10317 13756 20634 30951 41268 61902 123804