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12011392 = 27107877
BaseRepresentation
bin101101110100…
…011110000000
3211121020112101
4231310132000
511033331032
61105240144
7204044431
oct55643600
924536471
1012011392
116864378
124033054
132647243
141849488
1510c3de7
hexb74780

12011392 has 32 divisors (see below), whose sum is σ = 24180120. Its totient is φ = 5942784.

The previous prime is 12011387. The next prime is 12011393. The reversal of 12011392 is 29311021.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011393) 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 3 ways as a sum of consecutive naturals, for example, 13258 + ... + 14134.

Almost surely, 212011392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090060).

12011392 is an abundant number, since it is smaller than the sum of its proper divisors (12168728).

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

12011392 is an equidigital number, since it uses as much as digits as its factorization.

12011392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 12011392 is about 3465.7455186439. The cubic root of 12011392 is about 229.0152732896.

It can be divided in two parts, 12011 and 392, that added together give a triangular number (12403 = T157).

The spelling of 12011392 in words is "twelve million, eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 877 1712 1754 3424 3508 6848 7016 13696 14032 28064 56128 93839 112256 187678 375356 750712 1501424 3002848 6005696 12011392