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12084192 = 253241959
BaseRepresentation
bin101110000110…
…001111100000
3211201221101200
4232012033200
511043143232
61111001200
7204466611
oct56061740
924657350
1012084192
11690403a
124069200
132671413
141867c08
1510da77c
hexb863e0

12084192 has 36 divisors (see below), whose sum is σ = 34365240. Its totient is φ = 4027968.

The previous prime is 12084173. The next prime is 12084197. The reversal of 12084192 is 29148021.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20692 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (954590).

Almost surely, 212084192 is an apocalyptic number.

12084192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12084192 is an abundant number, since it is smaller than the sum of its proper divisors (22281048).

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

12084192 is a wasteful number, since it uses less digits than its factorization.

12084192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41975 (or 41964 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12084192 is about 3476.2324433214. The cubic root of 12084192 is about 229.4770222058.

The spelling of 12084192 in words is "twelve million, eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 41959 83918 125877 167836 251754 335672 377631 503508 671344 755262 1007016 1342688 1510524 2014032 3021048 4028064 6042096 12084192