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112816284 = 223717199397
BaseRepresentation
bin1101011100101…
…11000010011100
321212021122211220
412232113002130
5212340110114
615110013340
72536631310
oct656270234
9255248756
10112816284
11587555a9
1231947250
131a4b01c9
1410da9b40
159d870a9
hex6b9709c

112816284 has 96 divisors (see below), whose sum is σ = 320947200. Its totient is φ = 30108672.

The previous prime is 112816273. The next prime is 112816289. The reversal of 112816284 is 482618211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112816289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283974 + ... + 284370.

It is an arithmetic number, because the mean of its divisors is an integer number (3343200).

Almost surely, 2112816284 is an apocalyptic number.

112816284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112816284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160473600).

112816284 is an abundant number, since it is smaller than the sum of its proper divisors (208130916).

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

112816284 is a wasteful number, since it uses less digits than its factorization.

112816284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 112816284 is about 10621.5010238666. The cubic root of 112816284 is about 483.1966672924.

The spelling of 112816284 in words is "one hundred twelve million, eight hundred sixteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 199 204 238 357 397 398 476 597 714 794 796 1191 1194 1393 1428 1588 2382 2388 2779 2786 3383 4179 4764 5558 5572 6749 6766 8337 8358 10149 11116 13498 13532 16674 16716 20247 20298 23681 26996 33348 40494 40596 47243 47362 71043 79003 80988 94486 94724 141729 142086 158006 188972 237009 283458 284172 316012 474018 553021 566916 948036 1106042 1343051 1659063 2212084 2686102 3318126 4029153 5372204 6636252 8058306 9401357 16116612 18802714 28204071 37605428 56408142 112816284