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138304 = 262161
BaseRepresentation
bin100001110001000000
321000201101
4201301000
513411204
62544144
71114135
oct416100
9230641
10138304
1194a01
1268054
134ac4a
143858c
152aea4
hex21c40

138304 has 14 divisors (see below), whose sum is σ = 274574. Its totient is φ = 69120.

The previous prime is 138289. The next prime is 138311. The reversal of 138304 is 403831.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 14400 = 352^2 + 120^2 .

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 as a sum of consecutive naturals, namely, 1017 + ... + 1144.

2138304 is an apocalyptic number.

It is an amenable number.

138304 is a deficient number, since it is larger than the sum of its proper divisors (136270).

138304 is an equidigital number, since it uses as much as digits as its factorization.

138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2163 counting only the distinct ones).

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

The square root of 138304 is about 371.8924575734. The cubic root of 138304 is about 51.7144107174.

The spelling of 138304 in words is "one hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 2161 4322 8644 17288 34576 69152 138304