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12417696 = 253243117
BaseRepresentation
bin101111010111…
…101010100000
3212100212212200
4233113222200
511134331241
61122053200
7210356124
oct57275240
925325780
1012417696
117011665
1241aa200
13275a165
141913584
1511544b6
hexbd7aa0

12417696 has 36 divisors (see below), whose sum is σ = 35313642. Its totient is φ = 4139136.

The previous prime is 12417653. The next prime is 12417703. The reversal of 12417696 is 69671421.

It can be written as a sum of positive squares in only one way, i.e., 10890000 + 1527696 = 3300^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12417696.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21271 + ... + 21846.

Almost surely, 212417696 is an apocalyptic number.

12417696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12417696 is an abundant number, since it is smaller than the sum of its proper divisors (22895946).

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

12417696 is a wasteful number, since it uses less digits than its factorization.

12417696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43133 (or 43122 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 12417696 is about 3523.8751396722. The cubic root of 12417696 is about 231.5689578698.

The spelling of 12417696 in words is "twelve million, four hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43117 86234 129351 172468 258702 344936 388053 517404 689872 776106 1034808 1379744 1552212 2069616 3104424 4139232 6208848 12417696