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12364117 = 1719101379
BaseRepresentation
bin101111001010…
…100101010101
3212021011101021
4233022211111
511131122432
61121001141
7210043663
oct57124525
925234337
1012364117
116a85387
1241831b1
13273b95c
1418dbc33
151143697
hexbca955

12364117 has 16 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 10886400.

The previous prime is 12364111. The next prime is 12364123. The reversal of 12364117 is 71146321.

It is an interprime number because it is at equal distance from previous prime (12364111) and next prime (12364123).

It is a cyclic number.

It is not a de Polignac number, because 12364117 - 211 = 12362069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12364091 and 12364100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364111) 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 15 ways as a sum of consecutive naturals, for example, 32434 + ... + 32812.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 212364117 is an apocalyptic number.

12364117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12364117 is a deficient number, since it is larger than the sum of its proper divisors (1589483).

12364117 is a wasteful number, since it uses less digits than its factorization.

12364117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its digits is 1008, while the sum is 25.

The square root of 12364117 is about 3516.2646373673. The cubic root of 12364117 is about 231.2354252319.

The spelling of 12364117 in words is "twelve million, three hundred sixty-four thousand, one hundred seventeen".

Divisors: 1 17 19 101 323 379 1717 1919 6443 7201 32623 38279 122417 650743 727301 12364117