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12765936 = 243265957
BaseRepresentation
bin110000101100…
…101011110000
3220000120120110
4300230223300
511232002221
61133341320
7213336321
oct60545360
926016513
1012765936
11722a267
124337840
13284c811
1419a4448
1511c2776
hexc2caf0

12765936 has 20 divisors (see below), whose sum is σ = 32978792. Its totient is φ = 4255296.

The previous prime is 12765919. The next prime is 12765941. The reversal of 12765936 is 63956721.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12765894 and 12765903.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 132931 + ... + 133026.

Almost surely, 212765936 is an apocalyptic number.

12765936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12765936 is an abundant number, since it is smaller than the sum of its proper divisors (20212856).

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

12765936 is a wasteful number, since it uses less digits than its factorization.

12765936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265968 (or 265962 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 12765936 is about 3572.9450037749. The cubic root of 12765936 is about 233.7137269155.

The spelling of 12765936 in words is "twelve million, seven hundred sixty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 265957 531914 797871 1063828 1595742 2127656 3191484 4255312 6382968 12765936