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12414964 = 2217416173
BaseRepresentation
bin101111010110…
…111111110100
3212100202010111
4233112333310
511134234324
61122032404
7210345142
oct57267764
925322114
1012414964
11700a601
1241a8704
132758b43
141912592
151153794
hexbd6ff4

12414964 has 48 divisors (see below), whose sum is σ = 24279696. Its totient is φ = 5529600.

The previous prime is 12414959. The next prime is 12414967. The reversal of 12414964 is 46941421.

It can be written as a sum of positive squares in 8 ways, for example, as 1904400 + 10510564 = 1380^2 + 3242^2 .

It is a super-2 number, since 2×124149642 = 308262662242592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170032 + ... + 170104.

It is an arithmetic number, because the mean of its divisors is an integer number (505827).

Almost surely, 212414964 is an apocalyptic number.

It is an amenable number.

12414964 is a deficient number, since it is larger than the sum of its proper divisors (11864732).

12414964 is a wasteful number, since it uses less digits than its factorization.

12414964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 12414964 is about 3523.4874769183. The cubic root of 12414964 is about 231.5519742363.

It can be divided in two parts, 1241 and 4964, that multiplied together give a square (6160324 = 24822).

The spelling of 12414964 in words is "twelve million, four hundred fourteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 17 34 41 61 68 73 82 122 146 164 244 292 697 1037 1241 1394 2074 2482 2501 2788 2993 4148 4453 4964 5002 5986 8906 10004 11972 17812 42517 50881 75701 85034 101762 151402 170068 182573 203524 302804 365146 730292 3103741 6207482 12414964