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12288696 = 2337193379
BaseRepresentation
bin101110111000…
…001010111000
3212010022220220
4232320022320
511121214241
61115220040
7206311050
oct56701270
925108826
1012288696
116a33752
124147620
132713524
1418bc560
15112b166
hexbb82b8

12288696 has 64 divisors (see below), whose sum is σ = 35385600. Its totient is φ = 3483648.

The previous prime is 12288673. The next prime is 12288701. The reversal of 12288696 is 69688221.

12288696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32235 + ... + 32613.

It is an arithmetic number, because the mean of its divisors is an integer number (552900).

Almost surely, 212288696 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 12288696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692800).

12288696 is an abundant number, since it is smaller than the sum of its proper divisors (23096904).

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

12288696 is a wasteful number, since it uses less digits than its factorization.

12288696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 584 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12288696 is about 3505.5236413409. The cubic root of 12288696 is about 230.7642879625.

The spelling of 12288696 in words is "twelve million, two hundred eighty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 379 386 579 758 772 1137 1158 1351 1516 1544 2274 2316 2653 2702 3032 4053 4548 4632 5306 5404 7959 8106 9096 10612 10808 15918 16212 21224 31836 32424 63672 73147 146294 219441 292588 438882 512029 585176 877764 1024058 1536087 1755528 2048116 3072174 4096232 6144348 12288696