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2012136 = 233722959
BaseRepresentation
bin111101011001111101000
310210020010120
413223033220
51003342021
6111043240
723050200
oct7531750
93706116
102012136
111154825
12810520
13555b19
143a5400
1529b2c6
hex1eb3e8

2012136 has 96 divisors (see below), whose sum is σ = 6156000. Its totient is φ = 545664.

The previous prime is 2012123. The next prime is 2012147. The reversal of 2012136 is 6312102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34075 + ... + 34133.

It is an arithmetic number, because the mean of its divisors is an integer number (64125).

22012136 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 2012136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078000).

2012136 is an abundant number, since it is smaller than the sum of its proper divisors (4143864).

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

2012136 is a wasteful number, since it uses less digits than its factorization.

2012136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2012136 is about 1418.4977969669. The cubic root of 2012136 is about 126.2464312947.

Adding to 2012136 its reverse (6312102), we get a palindrome (8324238).

The spelling of 2012136 in words is "two million, twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 59 84 87 98 116 118 147 168 174 177 196 203 232 236 294 348 354 392 406 413 472 588 609 696 708 812 826 1176 1218 1239 1416 1421 1624 1652 1711 2436 2478 2842 2891 3304 3422 4263 4872 4956 5133 5684 5782 6844 8526 8673 9912 10266 11368 11564 11977 13688 17052 17346 20532 23128 23954 34104 34692 35931 41064 47908 69384 71862 83839 95816 143724 167678 251517 287448 335356 503034 670712 1006068 2012136