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12932 = 225361
BaseRepresentation
bin11001010000100
3122201222
43022010
5403212
6135512
752463
oct31204
918658
1012932
119797
127598
135b6a
1449da
153c72
hex3284

12932 has 12 divisors (see below), whose sum is σ = 23436. Its totient is φ = 6240.

The previous prime is 12923. The next prime is 12941. The reversal of 12932 is 23921.

It is an interprime number because it is at equal distance from previous prime (12923) and next prime (12941).

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 8836 = 64^2 + 94^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

12932 is an undulating number in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 12932.

It is an unprimeable number.

12932 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 182 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (1953).

212932 is an apocalyptic number.

It is an amenable number.

12932 is a deficient number, since it is larger than the sum of its proper divisors (10504).

12932 is a wasteful number, since it uses less digits than its factorization.

12932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 12932 is about 113.7189518066. The cubic root of 12932 is about 23.4722775553.

It can be divided in two parts, 129 and 32, that added together give a palindrome (161).

The spelling of 12932 in words is "twelve thousand, nine hundred thirty-two".

Divisors: 1 2 4 53 61 106 122 212 244 3233 6466 12932