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16385193 = 3311431283
BaseRepresentation
bin111110100000…
…010010101001
31010211110021000
4332200102221
513143311233
61343105213
7256162146
oct76402251
933743230
1016385193
119281490
1255a2209
133518ca6
1422673cd
151689d13
hexfa04a9

16385193 has 32 divisors (see below), whose sum is σ = 27118080. Its totient is φ = 9691920.

The previous prime is 16385141. The next prime is 16385197. The reversal of 16385193 is 39158361.

It is a happy number.

16385193 is a `hidden beast` number, since 1 + 638 + 5 + 19 + 3 = 666.

It is not a de Polignac number, because 16385193 - 28 = 16384937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16385197) 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 31 ways as a sum of consecutive naturals, for example, 12130 + ... + 13412.

It is an arithmetic number, because the mean of its divisors is an integer number (847440).

Almost surely, 216385193 is an apocalyptic number.

It is an amenable number.

16385193 is a deficient number, since it is larger than the sum of its proper divisors (10732887).

16385193 is a wasteful number, since it uses less digits than its factorization.

16385193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 16385193 is about 4047.8627694130. The cubic root of 16385193 is about 253.9903327794.

The spelling of 16385193 in words is "sixteen million, three hundred eighty-five thousand, one hundred ninety-three".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 1161 1283 1419 3849 4257 11547 12771 14113 34641 42339 55169 127017 165507 381051 496521 606859 1489563 1820577 5461731 16385193