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12138384 = 243435881
BaseRepresentation
bin101110010011…
…011110010000
3211211200201210
4232103132100
511101412014
61112100120
7205113606
oct56233620
924750653
1012138384
116940825
124094640
13268cc9b
14187d876
1510eb859
hexb93790

12138384 has 40 divisors (see below), whose sum is σ = 32092192. Its totient is φ = 3951360.

The previous prime is 12138383. The next prime is 12138389. The reversal of 12138384 is 48383121.

12138384 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 is a super-2 number, since 2×121383842 = 294680732262912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12138383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 5004.

Almost surely, 212138384 is an apocalyptic number.

It is an amenable number.

12138384 is an abundant number, since it is smaller than the sum of its proper divisors (19953808).

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

12138384 is a wasteful number, since it uses less digits than its factorization.

12138384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5929 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 12138384 is about 3484.0183696416. The cubic root of 12138384 is about 229.8195433920.

It can be divided in two parts, 121 and 38384, that multiplied together give a palindrome (4644464).

The spelling of 12138384 in words is "twelve million, one hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 5881 11762 17643 23524 35286 47048 70572 94096 141144 252883 282288 505766 758649 1011532 1517298 2023064 3034596 4046128 6069192 12138384