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112950126 = 234739551
BaseRepresentation
bin1101011101101…
…11101101101110
321212112110110000
412232313231232
5212403401001
615112525130
72541026442
oct656675556
9255473400
10112950126
1158837113
12319b07a6
131a5290c3
1411002822
159db1a86
hex6bb7b6e

112950126 has 40 divisors (see below), whose sum is σ = 256585824. Its totient is φ = 37130400.

The previous prime is 112950113. The next prime is 112950127. The reversal of 112950126 is 621059211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112950126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112950127) 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 19 ways as a sum of consecutive naturals, for example, 7051 + ... + 16601.

Almost surely, 2112950126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112950126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128292912).

112950126 is an abundant number, since it is smaller than the sum of its proper divisors (143635698).

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

112950126 is an equidigital number, since it uses as much as digits as its factorization.

112950126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 112950126 is about 10627.7996782024. The cubic root of 112950126 is about 483.3876753274.

The spelling of 112950126 in words is "one hundred twelve million, nine hundred fifty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 9551 11826 19102 28653 57306 85959 171918 257877 515754 697223 773631 1394446 1547262 2091669 4183338 6275007 12550014 18825021 37650042 56475063 112950126