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12663028 = 2271737719
BaseRepresentation
bin110000010011…
…100011110100
3212211100102001
4300103203310
511220204103
61131225044
7212430310
oct60234364
925740361
1012663028
117169a14
1242a8184
132814a21
141978b40
1511a201d
hexc138f4

12663028 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4962816.

The previous prime is 12663023. The next prime is 12663029. The reversal of 12663028 is 82036621.

12663028 is a nontrivial binomial coefficient, being equal to C(5033, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12662987 and 12663005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12663023) 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 15 ways as a sum of consecutive naturals, for example, 17253 + ... + 17971.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 212663028 is an apocalyptic number.

12663028 is the 5032-nd triangular number.

12663028 is the 1678-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12663028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12663028 is an abundant number, since it is smaller than the sum of its proper divisors (14915852).

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

12663028 is a wasteful number, since it uses less digits than its factorization.

12663028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12663028 is about 3558.5148587578. The cubic root of 12663028 is about 233.0840321458.

Adding to 12663028 its reverse (82036621), we get a palindrome (94699649).

The spelling of 12663028 in words is "twelve million, six hundred sixty-three thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 119 148 238 259 476 518 629 719 1036 1258 1438 2516 2876 4403 5033 8806 10066 12223 17612 20132 24446 26603 48892 53206 85561 106412 171122 186221 342244 372442 452251 744884 904502 1809004 3165757 6331514 12663028