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12803868 = 223271131149
BaseRepresentation
bin110000110101…
…111100011100
3220002111121100
4300311330130
511234210433
61134233100
7213555030
oct60657434
926074540
1012803868
117255810
124355790
132863b6c
1419b41c0
1511cdb13
hexc35f1c

12803868 has 144 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3196800.

The previous prime is 12803867. The next prime is 12803897. The reversal of 12803868 is 86830821.

It is a super-2 number, since 2×128038682 = 327878071522848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803863) 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 47 ways as a sum of consecutive naturals, for example, 85858 + ... + 86006.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 212803868 is an apocalyptic number.

12803868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12803868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

12803868 is an abundant number, since it is smaller than the sum of its proper divisors (29128932).

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

12803868 is a wasteful number, since it uses less digits than its factorization.

12803868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12803868 is about 3578.2492926011. The cubic root of 12803868 is about 233.9449793936.

The spelling of 12803868 in words is "twelve million, eight hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 149 154 186 198 217 231 252 279 298 308 341 372 396 434 447 462 558 596 651 682 693 868 894 924 1023 1043 1116 1302 1341 1364 1386 1639 1788 1953 2046 2086 2387 2604 2682 2772 3069 3129 3278 3906 4092 4172 4619 4774 4917 5364 6138 6258 6556 7161 7812 9238 9387 9548 9834 11473 12276 12516 13857 14322 14751 18476 18774 19668 21483 22946 27714 28644 29502 32333 34419 37548 41571 42966 45892 50809 55428 59004 64666 68838 83142 85932 96999 101618 103257 129332 137676 152427 166284 193998 203236 206514 290997 304854 355663 387996 413028 457281 581994 609708 711326 914562 1066989 1163988 1422652 1829124 2133978 3200967 4267956 6401934 12803868