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112285068 = 223721747239
BaseRepresentation
bin1101011000101…
…01010110001100
321211021200011020
412230111112030
5212221110233
615050354140
72532256500
oct654252614
9254250136
10112285068
1158422485
123172b950
131a35548c
1410cac300
159cce9b3
hex6b1558c

112285068 has 144 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 29428224.

The previous prime is 112285067. The next prime is 112285081. The reversal of 112285068 is 860582211.

112285068 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (112285067) 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 47 ways as a sum of consecutive naturals, for example, 469693 + ... + 469931.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2112285068 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 112285068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

112285068 is an abundant number, since it is smaller than the sum of its proper divisors (218661492).

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

112285068 is a wasteful number, since it uses less digits than its factorization.

112285068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 112285068 is about 10596.4648822143. The cubic root of 112285068 is about 482.4370673287.

The spelling of 112285068 in words is "one hundred twelve million, two hundred eighty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 47 49 51 68 84 94 98 102 119 141 147 188 196 204 238 239 282 294 329 357 476 478 564 588 658 714 717 799 833 956 987 1316 1428 1434 1598 1666 1673 1974 2303 2397 2499 2868 3196 3332 3346 3948 4063 4606 4794 4998 5019 5593 6692 6909 8126 9212 9588 9996 10038 11186 11233 11711 12189 13818 16252 16779 20076 22372 22466 23422 24378 27636 28441 33558 33699 35133 39151 44932 46844 48756 56882 67116 67398 70266 78302 78631 85323 113764 117453 134796 140532 156604 157262 170646 190961 199087 234906 235893 314524 341292 381922 398174 469812 471786 550417 572883 597261 763844 796348 943572 1100834 1145766 1194522 1336727 1651251 2201668 2291532 2389044 2673454 3302502 4010181 5346908 6605004 8020362 9357089 16040724 18714178 28071267 37428356 56142534 112285068