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123904 = 210112
BaseRepresentation
bin11110010000000000
320021222001
4132100000
512431104
62353344
71024144
oct362000
9207861
10123904
1185100
125b854
1344521
1433224
1526aa4
hex1e400

123904 has 33 divisors (see below), whose sum is σ = 272251. Its totient is φ = 56320.

The previous prime is 123887. The next prime is 123911. The reversal of 123904 is 409321.

It can be divided in two parts, 12 and 3904, that added together give a triangular number (3916 = T88).

123904 = T351 + T352.

The square root of 123904 is 352.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11259 + ... + 11269.

123904 is a Friedman number, since it can be written as (4*(91-3))^(2+0), using all its digits and the basic arithmetic operations.

2123904 is an apocalyptic number.

123904 is the 352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123904

123904 is an abundant number, since it is smaller than the sum of its proper divisors (148347).

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

123904 is an equidigital number, since it uses as much as digits as its factorization.

123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 123904 is about 49.8534374750.

The spelling of 123904 in words is "one hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 15488 30976 61952 123904