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138162726 = 23313972029
BaseRepresentation
bin10000011110000…
…11001000100110
3100121222101122000
420033003020212
5240332201401
621413150130
73265235532
oct1017031046
9317871560
10138162726
1170a97779
123a32b346
1322815cc0
14144c6bc2
15c1e2186
hex83c3226

138162726 has 64 divisors (see below), whose sum is σ = 334219200. Its totient is φ = 42052608.

The previous prime is 138162721. The next prime is 138162763. The reversal of 138162726 is 627261831.

138162726 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 627 + 26 = 666.

138162726 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138162721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 67080 + ... + 69108.

It is an arithmetic number, because the mean of its divisors is an integer number (5222175).

Almost surely, 2138162726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138162726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167109600).

138162726 is an abundant number, since it is smaller than the sum of its proper divisors (196056474).

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

138162726 is a wasteful number, since it uses less digits than its factorization.

138162726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2144 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 138162726 is about 11754.2641624221. The cubic root of 138162726 is about 516.9679640243.

The spelling of 138162726 in words is "one hundred thirty-eight million, one hundred sixty-two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 194 234 291 351 582 702 873 1261 1746 2029 2522 2619 3783 4058 5238 6087 7566 11349 12174 18261 22698 26377 34047 36522 52754 54783 68094 79131 109566 158262 196813 237393 393626 474786 590439 712179 1180878 1424358 1771317 2558569 3542634 5117138 5313951 7675707 10627902 15351414 23027121 46054242 69081363 138162726