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112084236 = 2235112953
BaseRepresentation
bin1101010111001…
…00010100001100
321210220110200000
412223210110030
5212143143421
615042204300
72530462125
oct653442414
9253813600
10112084236
11582a5600
1231653690
131a2b4c44
1410c5904c
159c90226
hex6ae450c

112084236 has 108 divisors (see below), whose sum is σ = 323295336. Its totient is φ = 33929280.

The previous prime is 112084199. The next prime is 112084243. The reversal of 112084236 is 632480211.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117136 + ... + 118088.

Almost surely, 2112084236 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 112084236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161647668).

112084236 is an abundant number, since it is smaller than the sum of its proper divisors (211211100).

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

112084236 is a wasteful number, since it uses less digits than its factorization.

112084236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112084236 is about 10586.9842731535. The cubic root of 112084236 is about 482.1492682322.

The spelling of 112084236 in words is "one hundred twelve million, eighty-four thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 594 726 891 953 972 1089 1188 1452 1782 1906 2178 2673 2859 3267 3564 3812 4356 5346 5718 6534 8577 9801 10483 10692 11436 13068 17154 19602 20966 25731 29403 31449 34308 39204 41932 51462 58806 62898 77193 94347 102924 115313 117612 125796 154386 188694 230626 231579 283041 308772 345939 377388 461252 463158 566082 691878 849123 926316 1037817 1132164 1383756 1698246 2075634 2547369 3113451 3396492 4151268 5094738 6226902 9340353 10189476 12453804 18680706 28021059 37361412 56042118 112084236