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12681966 = 23111789127
BaseRepresentation
bin110000011000…
…001011101110
3212212022101110
4300120023232
511221310331
61131452450
7212536443
oct60301356
925768343
1012681966
117182170
1242b7126
13282052b
1419819ca
1511a7946
hexc182ee

12681966 has 64 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 3548160.

The previous prime is 12681959. The next prime is 12682001. The reversal of 12681966 is 66918621.

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 31 ways as a sum of consecutive naturals, for example, 99795 + ... + 99921.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 212681966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12681966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

12681966 is an abundant number, since it is smaller than the sum of its proper divisors (17177874).

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

12681966 is a wasteful number, since it uses less digits than its factorization.

12681966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

The product of its digits is 31104, while the sum is 39.

The square root of 12681966 is about 3561.1748061560. The cubic root of 12681966 is about 233.2001693689.

The spelling of 12681966 in words is "twelve million, six hundred eighty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 89 102 127 178 187 254 267 374 381 534 561 762 979 1122 1397 1513 1958 2159 2794 2937 3026 4191 4318 4539 5874 6477 8382 9078 11303 12954 16643 22606 23749 33286 33909 47498 49929 67818 71247 99858 124333 142494 192151 248666 372999 384302 576453 745998 1152906 2113661 4227322 6340983 12681966