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12916917 = 3213113977
BaseRepresentation
bin110001010001…
…100010110101
3220022020200100
4301101202311
511301320132
61140504313
7214535436
oct61214265
926266610
1012916917
117322742
1243ab099
1328a3460
141a0348d
15120237c
hexc518b5

12916917 has 24 divisors (see below), whose sum is σ = 20291544. Its totient is φ = 7870464.

The previous prime is 12916907. The next prime is 12916931. The reversal of 12916917 is 71961921.

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 12680721 = 486^2 + 3561^2 .

It is not a de Polignac number, because 12916917 - 24 = 12916901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12916907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12733 + ... + 13709.

It is an arithmetic number, because the mean of its divisors is an integer number (845481).

Almost surely, 212916917 is an apocalyptic number.

It is an amenable number.

12916917 is a deficient number, since it is larger than the sum of its proper divisors (7374627).

12916917 is a wasteful number, since it uses less digits than its factorization.

12916917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1106 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 12916917 is about 3594.0112687636. The cubic root of 12916917 is about 234.6314851898.

The spelling of 12916917 in words is "twelve million, nine hundred sixteen thousand, nine hundred seventeen".

Divisors: 1 3 9 13 39 113 117 339 977 1017 1469 2931 4407 8793 12701 13221 38103 110401 114309 331203 993609 1435213 4305639 12916917