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12696264 = 23367311
BaseRepresentation
bin110000011011…
…101011001000
3212220001000000
4300123223020
511222240024
61132043000
7212626230
oct60335310
925801000
1012696264
117191989
124303460
132826ba9
141986cc0
1511abcc9
hexc1bac8

12696264 has 112 divisors (see below), whose sum is σ = 40921920. Its totient is φ = 3615840.

The previous prime is 12696239. The next prime is 12696283. The reversal of 12696264 is 46269621.

12696264 is a `hidden beast` number, since 1 + 26 + 9 + 626 + 4 = 666.

It is a super-2 number, since 2×126962642 = 322390239115392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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 27 ways as a sum of consecutive naturals, for example, 40669 + ... + 40979.

Almost surely, 212696264 is an apocalyptic number.

12696264 is a gapful number since it is divisible by the number (14) 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 12696264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460960).

12696264 is an abundant number, since it is smaller than the sum of its proper divisors (28225656).

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

12696264 is an equidigital number, since it uses as much as digits as its factorization.

12696264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 12696264 is about 3563.1817242459. The cubic root of 12696264 is about 233.2877752324.

The spelling of 12696264 in words is "twelve million, six hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 311 324 378 486 504 567 622 648 729 756 933 972 1134 1244 1458 1512 1701 1866 1944 2177 2268 2488 2799 2916 3402 3732 4354 4536 5103 5598 5832 6531 6804 7464 8397 8708 10206 11196 13062 13608 16794 17416 19593 20412 22392 25191 26124 33588 39186 40824 50382 52248 58779 67176 75573 78372 100764 117558 151146 156744 176337 201528 226719 235116 302292 352674 453438 470232 529011 604584 705348 906876 1058022 1410696 1587033 1813752 2116044 3174066 4232088 6348132 12696264