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112906079 = 111347107157
BaseRepresentation
bin1101011101011…
…00111101011111
321212110020000122
412232230331133
5212400443304
615111545155
72540454146
oct656547537
9255406018
10112906079
1158807010
123198b1bb
131a512040
1410dd075d
159da39be
hex6bacf5f

112906079 has 32 divisors (see below), whose sum is σ = 137604096. Its totient is φ = 91278720.

The previous prime is 112906069. The next prime is 112906111. The reversal of 112906079 is 970609211.

It is not a de Polignac number, because 112906079 - 24 = 112906063 is a prime.

It is a super-5 number, since 5×1129060795 (a number of 41 digits) contains 55555 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112906009) 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 31 ways as a sum of consecutive naturals, for example, 719069 + ... + 719225.

It is an arithmetic number, because the mean of its divisors is an integer number (4300128).

Almost surely, 2112906079 is an apocalyptic number.

112906079 is a deficient number, since it is larger than the sum of its proper divisors (24698017).

112906079 is a wasteful number, since it uses less digits than its factorization.

112906079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 112906079 is about 10625.7272221717. The cubic root of 112906079 is about 483.3248318230.

The spelling of 112906079 in words is "one hundred twelve million, nine hundred six thousand, seventy-nine".

Divisors: 1 11 13 47 107 143 157 517 611 1177 1391 1727 2041 5029 6721 7379 15301 16799 22451 55319 65377 81169 95927 184789 218387 719147 789553 1055197 2402257 8685083 10264189 112906079