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138974094 = 23272198293
BaseRepresentation
bin10000100100010…
…01001110001110
3100200111121121200
420102021032032
5241034132334
621442410330
73305155200
oct1022111616
9320447550
10138974094
11714a1326
123a6609a6
1322a3b3bc
1414658770
15c302799
hex848938e

138974094 has 72 divisors (see below), whose sum is σ = 368751240. Its totient is φ = 37612512.

The previous prime is 138974093. The next prime is 138974107. The reversal of 138974094 is 490479831.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138974093) 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 35 ways as a sum of consecutive naturals, for example, 12612 + ... + 20904.

It is an arithmetic number, because the mean of its divisors is an integer number (5121545).

Almost surely, 2138974094 is an apocalyptic number.

138974094 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138974094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184375620).

138974094 is an abundant number, since it is smaller than the sum of its proper divisors (229777146).

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

138974094 is a wasteful number, since it uses less digits than its factorization.

138974094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8334 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 138974094 is about 11788.7274122358. The cubic root of 138974094 is about 517.9779635135.

The spelling of 138974094 in words is "one hundred thirty-eight million, nine hundred seventy-four thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8293 8379 16586 16758 24879 49758 58051 74637 116102 149274 157567 174153 315134 348306 406357 472701 522459 812714 945402 1044918 1102969 1219071 1418103 2205938 2438142 2836206 3308907 3657213 6617814 7314426 7720783 9926721 15441566 19853442 23162349 46324698 69487047 138974094