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12095136 = 253313999
BaseRepresentation
bin101110001000…
…111010100000
3211202111102000
4232020322200
511044021021
61111124000
7204543534
oct56107240
924674360
1012095136
116911289
124073600
1326763b1
14186bbc4
1510ddb26
hexb88ea0

12095136 has 48 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 4031424.

The previous prime is 12095119. The next prime is 12095159. The reversal of 12095136 is 63159021.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6136 + ... + 7863.

It is an arithmetic number, because the mean of its divisors is an integer number (735000).

Almost surely, 212095136 is an apocalyptic number.

12095136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12095136 is an abundant number, since it is smaller than the sum of its proper divisors (23184864).

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

12095136 is a wasteful number, since it uses less digits than its factorization.

12095136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14018 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 12095136 is about 3477.8062050666. The cubic root of 12095136 is about 229.5462762849.

The spelling of 12095136 in words is "twelve million, ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13999 27998 41997 55996 83994 111992 125991 167988 223984 251982 335976 377973 447968 503964 671952 755946 1007928 1343904 1511892 2015856 3023784 4031712 6047568 12095136