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138311832 = 23331185903
BaseRepresentation
bin10000011111001…
…11100010011000
3100122020222011110
420033213202120
5240401434312
621420300320
73266426331
oct1017474230
9318228143
10138311832
11710897aa
123a3a16a0
1322868b29
1414525288
15c22143c
hex83e7898

138311832 has 32 divisors (see below), whose sum is σ = 356935680. Its totient is φ = 44616480.

The previous prime is 138311687. The next prime is 138311839. The reversal of 138311832 is 238113831.

138311832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 138311832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138311839) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 92208 + ... + 93695.

It is an arithmetic number, because the mean of its divisors is an integer number (11154240).

Almost surely, 2138311832 is an apocalyptic number.

138311832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138311832 is an abundant number, since it is smaller than the sum of its proper divisors (218623848).

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

138311832 is a wasteful number, since it uses less digits than its factorization.

138311832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185943 (or 185939 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 138311832 is about 11760.6050864741. The cubic root of 138311832 is about 517.1538687532.

The spelling of 138311832 in words is "one hundred thirty-eight million, three hundred eleven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 185903 371806 557709 743612 1115418 1487224 2230836 4461672 5762993 11525986 17288979 23051972 34577958 46103944 69155916 138311832