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138122604 = 22334131193
BaseRepresentation
bin10000011101110…
…01010101101100
3100121220100121000
420032321111230
5240324410404
621412240300
73265010544
oct1016712554
9317810530
10138122604
1170a6a614
123a310090
1322800969
14144b6324
15c1d5339
hex83b956c

138122604 has 48 divisors (see below), whose sum is σ = 366841440. Its totient is φ = 44916480.

The previous prime is 138122597. The next prime is 138122627. The reversal of 138122604 is 406221831.

138122604 is a `hidden beast` number, since 1 + 38 + 1 + 22 + 604 = 666.

138122604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11169 + ... + 20024.

It is an arithmetic number, because the mean of its divisors is an integer number (7642530).

Almost surely, 2138122604 is an apocalyptic number.

It is an amenable number.

138122604 is an abundant number, since it is smaller than the sum of its proper divisors (228718836).

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

138122604 is a wasteful number, since it uses less digits than its factorization.

138122604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31247 (or 31239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138122604 is about 11752.5573387242. The cubic root of 138122604 is about 516.9179172488.

The spelling of 138122604 in words is "one hundred thirty-eight million, one hundred twenty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 31193 62386 93579 124772 187158 280737 374316 561474 842211 1122948 1278913 1684422 2557826 3368844 3836739 5115652 7673478 11510217 15346956 23020434 34530651 46040868 69061302 138122604