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12327813 = 3229149317
BaseRepresentation
bin101111000001…
…101110000101
3212012022120200
4233001232011
511123442223
61120121113
7206533101
oct57015605
925168520
1012327813
116a60083
124166199
132728284
1418cc901
151137a43
hexbc1b85

12327813 has 24 divisors (see below), whose sum is σ = 18603000. Its totient is φ = 7857024.

The previous prime is 12327811. The next prime is 12327817. The reversal of 12327813 is 31872321.

12327813 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 91809 + 12236004 = 303^2 + 3498^2 .

It is not a de Polignac number, because 12327813 - 21 = 12327811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12327811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38731 + ... + 39047.

It is an arithmetic number, because the mean of its divisors is an integer number (775125).

Almost surely, 212327813 is an apocalyptic number.

It is an amenable number.

12327813 is a deficient number, since it is larger than the sum of its proper divisors (6275187).

12327813 is a wasteful number, since it uses less digits than its factorization.

12327813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 498 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 12327813 is about 3511.0985460394. The cubic root of 12327813 is about 231.0088825504.

It can be divided in two parts, 1232 and 7813, that added together give a triangular number (9045 = T134).

The spelling of 12327813 in words is "twelve million, three hundred twenty-seven thousand, eight hundred thirteen".

Divisors: 1 3 9 29 87 149 261 317 447 951 1341 2853 4321 9193 12963 27579 38889 47233 82737 141699 425097 1369757 4109271 12327813