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12929 = 71847
BaseRepresentation
bin11001010000001
3122201212
43022001
5403204
6135505
752460
oct31201
918655
1012929
119794
127595
135b67
1449d7
153c6e
hex3281

12929 has 4 divisors (see below), whose sum is σ = 14784. Its totient is φ = 11076.

The previous prime is 12923. The next prime is 12941. The reversal of 12929 is 92921.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12929 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 917 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

It is a Proth number, since it is equal to 101 ⋅ 27 + 1 and 101 < 27.

212929 is an apocalyptic number.

It is an amenable number.

12929 is a deficient number, since it is larger than the sum of its proper divisors (1855).

12929 is an equidigital number, since it uses as much as digits as its factorization.

12929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854.

The product of its digits is 324, while the sum is 23.

The square root of 12929 is about 113.7057606280. The cubic root of 12929 is about 23.4704623609.

It can be divided in two parts, 1292 and 9, that multiplied together give a triangular number (11628 = T152).

The spelling of 12929 in words is "twelve thousand, nine hundred twenty-nine".

Divisors: 1 7 1847 12929