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138364974 = 232112924097
BaseRepresentation
bin10000011111101…
…00100000101110
3100122100200001200
420033310200232
5240410134344
621421350330
73300040266
oct1017644056
9318320050
10138364974
1171115720
123a4083a6
1322887087
141453a7a6
15c232069
hex83f482e

138364974 has 48 divisors (see below), whose sum is σ = 338335920. Its totient is φ = 40481280.

The previous prime is 138364969. The next prime is 138365009. The reversal of 138364974 is 479463831.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6307 + ... + 17790.

It is an arithmetic number, because the mean of its divisors is an integer number (7048665).

Almost surely, 2138364974 is an apocalyptic number.

138364974 is an abundant number, since it is smaller than the sum of its proper divisors (199970946).

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

138364974 is a wasteful number, since it uses less digits than its factorization.

138364974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24145 (or 24142 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 138364974 is about 11762.8641920240. The cubic root of 138364974 is about 517.2200936776.

The spelling of 138364974 in words is "one hundred thirty-eight million, three hundred sixty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1914 2871 5742 24097 48194 72291 144582 216873 265067 433746 530134 698813 795201 1397626 1590402 2096439 2385603 4192878 4771206 6289317 7686943 12578634 15373886 23060829 46121658 69182487 138364974