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12138084 = 223273983
BaseRepresentation
bin101110010011…
…011001100100
3211211200022200
4232103121210
511101404314
61112054500
7205113000
oct56233144
924750280
1012138084
116940582
124094430
13268caca
14187d700
1510eb709
hexb93664

12138084 has 72 divisors (see below), whose sum is σ = 35817600. Its totient is φ = 3464496.

The previous prime is 12138073. The next prime is 12138097. The reversal of 12138084 is 48083121.

12138084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11857 + ... + 12839.

Almost surely, 212138084 is an apocalyptic number.

12138084 is a gapful number since it is divisible by the number (14) 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 12138084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908800).

12138084 is an abundant number, since it is smaller than the sum of its proper divisors (23679516).

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

12138084 is a wasteful number, since it uses less digits than its factorization.

12138084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 995 counting only the distinct ones).

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

The square root of 12138084 is about 3483.9753156416. The cubic root of 12138084 is about 229.8176500474.

The spelling of 12138084 in words is "twelve million, one hundred thirty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 983 1029 1372 1764 1966 2058 2949 3087 3932 4116 5898 6174 6881 8847 11796 12348 13762 17694 20643 27524 35388 41286 48167 61929 82572 96334 123858 144501 192668 247716 289002 337169 433503 578004 674338 867006 1011507 1348676 1734012 2023014 3034521 4046028 6069042 12138084