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12192096 = 253718143
BaseRepresentation
bin101110100000…
…100101100000
3211221102102010
4232200211200
511110121341
61113152520
7205426320
oct56404540
924842363
1012192096
116978114
1240bb740
1326ab577
141895280
15110c716
hexba0960

12192096 has 48 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3483264.

The previous prime is 12192073. The next prime is 12192097. The reversal of 12192096 is 69029121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12192097) 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, 8400 + ... + 9743.

It is an arithmetic number, because the mean of its divisors is an integer number (762048).

Almost surely, 212192096 is an apocalyptic number.

12192096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12192096 is an abundant number, since it is smaller than the sum of its proper divisors (24386208).

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

12192096 is a wasteful number, since it uses less digits than its factorization.

12192096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18163 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 12192096 is about 3491.7182016881. The cubic root of 12192096 is about 230.1580262456.

The spelling of 12192096 in words is "twelve million, one hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18143 36286 54429 72572 108858 127001 145144 217716 254002 290288 381003 435432 508004 580576 762006 870864 1016008 1524012 1741728 2032016 3048024 4064032 6096048 12192096