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17938068 = 22323103631
BaseRepresentation
bin100010001101…
…1011010010100
31020202100101220
41010123122110
514043004233
61440250340
7305320401
oct104333224
936670356
1017938068
11a142155
1260109b0
133940a55
14254d2a8
151894eb3
hex111b694

17938068 has 48 divisors (see below), whose sum is σ = 44169216. Its totient is φ = 5654880.

The previous prime is 17938049. The next prime is 17938069. The reversal of 17938068 is 86083971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17938069) 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 15 ways as a sum of consecutive naturals, for example, 28113 + ... + 28743.

It is an arithmetic number, because the mean of its divisors is an integer number (920192).

Almost surely, 217938068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17938068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084608).

17938068 is an abundant number, since it is smaller than the sum of its proper divisors (26231148).

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

17938068 is a wasteful number, since it uses less digits than its factorization.

17938068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 17938068 is about 4235.3356419533. The cubic root of 17938068 is about 261.7732241216.

The spelling of 17938068 in words is "seventeen million, nine hundred thirty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 103 138 206 276 309 412 618 631 1236 1262 1893 2369 2524 3786 4738 7107 7572 9476 14214 14513 28428 29026 43539 58052 64993 87078 129986 174156 194979 259972 389958 779916 1494839 2989678 4484517 5979356 8969034 17938068