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12315204 = 223211137227
BaseRepresentation
bin101110111110…
…101001000100
3212011200021200
4232332221010
511123041304
61115542500
7206451246
oct56765104
925150250
1012315204
116a51660
12415aa30
132722605
1418c8096
151133e39
hexbbea44

12315204 has 72 divisors (see below), whose sum is σ = 34358688. Its totient is φ = 3688320.

The previous prime is 12315187. The next prime is 12315209. The reversal of 12315204 is 40251321.

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

It is not an unprimeable number, because it can be changed into a prime (12315209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54139 + ... + 54365.

It is an arithmetic number, because the mean of its divisors is an integer number (477204).

Almost surely, 212315204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179344).

12315204 is an abundant number, since it is smaller than the sum of its proper divisors (22043484).

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

12315204 is a wasteful number, since it uses less digits than its factorization.

12315204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12315204 is about 3509.3024947986. The cubic root of 12315204 is about 230.9300963499.

Adding to 12315204 its reverse (40251321), we get a palindrome (52566525).

The spelling of 12315204 in words is "twelve million, three hundred fifteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 227 274 396 411 454 548 681 822 908 1233 1362 1507 1644 2043 2466 2497 2724 3014 4086 4521 4932 4994 6028 7491 8172 9042 9988 13563 14982 18084 22473 27126 29964 31099 44946 54252 62198 89892 93297 124396 186594 279891 342089 373188 559782 684178 1026267 1119564 1368356 2052534 3078801 4105068 6157602 12315204