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12924 = 2232359
BaseRepresentation
bin11001001111100
3122201200
43021330
5403144
6135500
752452
oct31174
918650
1012924
11978a
127590
135b62
1449d2
153c69
hex327c

12924 has 18 divisors (see below), whose sum is σ = 32760. Its totient is φ = 4296.

The previous prime is 12923. The next prime is 12941. The reversal of 12924 is 42921.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12897 and 12906.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

212924 is an apocalyptic number.

It is an amenable number.

12924 is an abundant number, since it is smaller than the sum of its proper divisors (19836).

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

12924 is a wasteful number, since it uses less digits than its factorization.

12924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 12924 is about 113.6837719290. The cubic root of 12924 is about 23.4674364130.

It can be divided in two parts, 1292 and 4, that added together give a 4-th power (1296 = 64).

The spelling of 12924 in words is "twelve thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 3231 4308 6462 12924