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12805533 = 341312161
BaseRepresentation
bin110000110110…
…010110011101
3220002120220000
4300312112131
511234234113
61134244513
7213562626
oct60662635
926076800
1012805533
117256a94
124356739
132864850
1419b4a4d
1511ce373
hexc3659d

12805533 has 20 divisors (see below), whose sum is σ = 20602428. Its totient is φ = 7879680.

The previous prime is 12805523. The next prime is 12805543. The reversal of 12805533 is 33550821.

12805533 is a `hidden beast` number, since 128 + 0 + 5 + 533 = 666.

It is an interprime number because it is at equal distance from previous prime (12805523) and next prime (12805543).

It can be written as a sum of positive squares in 2 ways, for example, as 2424249 + 10381284 = 1557^2 + 3222^2 .

It is not a de Polignac number, because 12805533 - 24 = 12805517 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12805497 and 12805506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805523) 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 19 ways as a sum of consecutive naturals, for example, 5028 + ... + 7133.

Almost surely, 212805533 is an apocalyptic number.

12805533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12805533 is a deficient number, since it is larger than the sum of its proper divisors (7796895).

12805533 is a wasteful number, since it uses less digits than its factorization.

12805533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12805533 is about 3578.4819407117. The cubic root of 12805533 is about 233.9551195978.

The spelling of 12805533 in words is "twelve million, eight hundred five thousand, five hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 12161 36483 109449 158093 328347 474279 985041 1422837 4268511 12805533