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12805696 = 261910531
BaseRepresentation
bin110000110110…
…011001000000
3220002121010001
4300312121000
511234240241
61134245344
7213563251
oct60663100
926077101
1012805696
117257122
124356854
132864947
1419b4b28
1511ce431
hexc36640

12805696 has 28 divisors (see below), whose sum is σ = 26751280. Its totient is φ = 6065280.

The previous prime is 12805693. The next prime is 12805699. The reversal of 12805696 is 69650821.

12805696 = T265 + T266 + ... + T456.

It is an interprime number because it is at equal distance from previous prime (12805693) and next prime (12805699).

It is a super-3 number, since 3×128056963 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12805691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4050 + ... + 6481.

Almost surely, 212805696 is an apocalyptic number.

12805696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12805696 is an abundant number, since it is smaller than the sum of its proper divisors (13945584).

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

12805696 is a wasteful number, since it uses less digits than its factorization.

12805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10562 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 12805696 is about 3578.5047156599. The cubic root of 12805696 is about 233.9561122552.

The spelling of 12805696 in words is "twelve million, eight hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 10531 21062 42124 84248 168496 200089 336992 400178 673984 800356 1600712 3201424 6402848 12805696