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12318144 = 26364157
BaseRepresentation
bin101110111111…
…010111000000
3212011211022120
4232333113000
511123140034
61120004240
7206462646
oct56772700
925154276
1012318144
116a53893
124160680
132723a57
1418c9196
151134c49
hexbbf5c0

12318144 has 28 divisors (see below), whose sum is σ = 32592264. Its totient is φ = 4105984.

The previous prime is 12318143. The next prime is 12318193. The reversal of 12318144 is 44181321.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31887 + ... + 32270.

Almost surely, 212318144 is an apocalyptic number.

It is an amenable number.

12318144 is an abundant number, since it is smaller than the sum of its proper divisors (20274120).

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

12318144 is an equidigital number, since it uses as much as digits as its factorization.

12318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64172 (or 64162 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 12318144 is about 3509.7213564612. The cubic root of 12318144 is about 230.9484714810.

Adding to 12318144 its reverse (44181321), we get a palindrome (56499465).

The spelling of 12318144 in words is "twelve million, three hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 64157 128314 192471 256628 384942 513256 769884 1026512 1539768 2053024 3079536 4106048 6159072 12318144