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12318048 = 253353269
BaseRepresentation
bin101110111111…
…010101100000
3212011211012000
4232333111200
511123134143
61120004000
7206462451
oct56772540
925154160
1012318048
116a53806
124160600
1327239b2
1418c9128
151134bd3
hexbbf560

12318048 has 96 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 4013568.

The previous prime is 12318043. The next prime is 12318071. The reversal of 12318048 is 84081321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45658 + ... + 45926.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 212318048 is an apocalyptic number.

12318048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12318048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800).

12318048 is an abundant number, since it is smaller than the sum of its proper divisors (24423552).

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

12318048 is a wasteful number, since it uses less digits than its factorization.

12318048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12318048 is about 3509.7076801352. The cubic root of 12318048 is about 230.9478715229.

Adding to 12318048 its reverse (84081321), we get a palindrome (96399369).

The spelling of 12318048 in words is "twelve million, three hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 269 288 318 424 432 477 538 636 807 848 864 954 1076 1272 1431 1614 1696 1908 2152 2421 2544 2862 3228 3816 4304 4842 5088 5724 6456 7263 7632 8608 9684 11448 12912 14257 14526 15264 19368 22896 25824 28514 29052 38736 42771 45792 57028 58104 77472 85542 114056 116208 128313 171084 228112 232416 256626 342168 384939 456224 513252 684336 769878 1026504 1368672 1539756 2053008 3079512 4106016 6159024 12318048