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138232392 = 233231791399
BaseRepresentation
bin10000011110101…
…00001001001000
3100122002221012020
420033110021020
5240341414032
621414444440
73265645614
oct1017241110
9318087166
10138232392
1171035051
123a363720
132283b91c
1414504344
15c207b2c
hex83d4248

138232392 has 64 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 43796544.

The previous prime is 138232373. The next prime is 138232399. The reversal of 138232392 is 293232831.

It is not an unprimeable number, because it can be changed into a prime (138232399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98109 + ... + 99507.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2138232392 is an apocalyptic number.

138232392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138232392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

138232392 is an abundant number, since it is smaller than the sum of its proper divisors (224647608).

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

138232392 is a wasteful number, since it uses less digits than its factorization.

138232392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 138232392 is about 11757.2272241375. The cubic root of 138232392 is about 517.0548399365.

The spelling of 138232392 in words is "one hundred thirty-eight million, two hundred thirty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 179 184 276 358 537 552 716 1074 1399 1432 2148 2798 4117 4197 4296 5596 8234 8394 11192 12351 16468 16788 24702 32177 32936 33576 49404 64354 96531 98808 128708 193062 250421 257416 386124 500842 751263 772248 1001684 1502526 2003368 3005052 5759683 6010104 11519366 17279049 23038732 34558098 46077464 69116196 138232392