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138303104 = 276117713
BaseRepresentation
bin10000011111001…
…01011010000000
3100122020112012012
420033211122000
5240401144404
621420152052
73266362022
oct1017453200
9318215165
10138303104
1171083195
123a398628
1322864b74
1414522012
15c21da6e
hex83e5680

138303104 has 32 divisors (see below), whose sum is σ = 280058340. Its totient is φ = 68014080.

The previous prime is 138303091. The next prime is 138303133. The reversal of 138303104 is 401303831.

It is a happy number.

138303104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 138109504 + 193600 = 11752^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 138303104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1049 + ... + 16664.

Almost surely, 2138303104 is an apocalyptic number.

It is an amenable number.

138303104 is an abundant number, since it is smaller than the sum of its proper divisors (141755236).

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

138303104 is an equidigital number, since it uses as much as digits as its factorization.

138303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17788 (or 17776 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 138303104 is about 11760.2340112772. The cubic root of 138303104 is about 517.1429904023.

Adding to 138303104 its reverse (401303831), we get a palindrome (539606935).

The spelling of 138303104 in words is "one hundred thirty-eight million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 17713 35426 70852 141704 283408 566816 1080493 1133632 2160986 2267264 4321972 8643944 17287888 34575776 69151552 138303104