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123328 = 264147
BaseRepresentation
bin11110000111000000
320021011201
4132013000
512421303
62350544
71022362
oct360700
9207151
10123328
1184727
125b454
134419a
1432d32
152681d
hex1e1c0

123328 has 28 divisors (see below), whose sum is σ = 256032. Its totient is φ = 58880.

The previous prime is 123323. The next prime is 123341. The reversal of 123328 is 823321.

It is a happy number.

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 (123323) by changing a digit.

123328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2601 + ... + 2647.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2123328 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 123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016).

123328 is an abundant number, since it is smaller than the sum of its proper divisors (132704).

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

123328 is an equidigital number, since it uses as much as digits as its factorization.

123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 123328 is about 351.1808650824. The cubic root of 123328 is about 49.7760652283.

Adding to 123328 its reverse (823321), we get a palindrome (946649).

The spelling of 123328 in words is "one hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 47 64 82 94 164 188 328 376 656 752 1312 1504 1927 2624 3008 3854 7708 15416 30832 61664 123328