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112406463 = 32132263281
BaseRepresentation
bin1101011001100…
…10111110111111
321211111211200100
412230302332333
5212234001323
615053132143
72533303431
oct654627677
9254454610
10112406463
11584a5704
123178a053
131a398800
1410d00651
159d05943
hex6b32fbf

112406463 has 36 divisors (see below), whose sum is σ = 177111792. Its totient is φ = 68664960.

The previous prime is 112406453. The next prime is 112406471. The reversal of 112406463 is 364604211.

112406463 is a `hidden beast` number, since 1 + 12 + 4 + 0 + 646 + 3 = 666.

It is not a de Polignac number, because 112406463 - 28 = 112406207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112406443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399883 + ... + 400163.

It is an arithmetic number, because the mean of its divisors is an integer number (4919772).

Almost surely, 2112406463 is an apocalyptic number.

112406463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

112406463 is a deficient number, since it is larger than the sum of its proper divisors (64705329).

112406463 is a wasteful number, since it uses less digits than its factorization.

112406463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 112406463 is about 10602.1914244179. The cubic root of 112406463 is about 482.6108641236.

The spelling of 112406463 in words is "one hundred twelve million, four hundred six thousand, four hundred sixty-three".

Divisors: 1 3 9 13 39 117 169 263 281 507 789 843 1521 2367 2529 3419 3653 10257 10959 30771 32877 44447 47489 73903 133341 142467 221709 400023 427401 665127 960739 2882217 8646651 12489607 37468821 112406463