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112105056 = 2537166823
BaseRepresentation
bin1101010111010…
…01011001100000
321210221112020010
412223221121200
5212144330211
615042444520
72530606620
oct653513140
9253845203
10112105056
115830a208
1231663740
131a2c156b
1410c62880
159c964a6
hex6ae9660

112105056 has 48 divisors (see below), whose sum is σ = 336317184. Its totient is φ = 32029824.

The previous prime is 112105033. The next prime is 112105057. The reversal of 112105056 is 650501211.

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112105057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82740 + ... + 84083.

It is an arithmetic number, because the mean of its divisors is an integer number (7006608).

Almost surely, 2112105056 is an apocalyptic number.

112105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112105056 is an abundant number, since it is smaller than the sum of its proper divisors (224212128).

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

112105056 is a wasteful number, since it uses less digits than its factorization.

112105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166843 (or 166835 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 112105056 is about 10587.9675103393. The cubic root of 112105056 is about 482.1791199659.

Adding to 112105056 its reverse (650501211), we get a palindrome (762606267).

The spelling of 112105056 in words is "one hundred twelve million, one hundred five thousand, fifty-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 166823 333646 500469 667292 1000938 1167761 1334584 2001876 2335522 2669168 3503283 4003752 4671044 5338336 7006566 8007504 9342088 14013132 16015008 18684176 28026264 37368352 56052528 112105056