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112317832 = 231123211263
BaseRepresentation
bin1101011000111…
…01010110001000
321211100100002201
412230131112020
5212223132312
615051205544
72532454144
oct654352610
9254310081
10112317832
1158445060
12317468b4
131a367373
1410cba224
159cd9557
hex6b1d588

112317832 has 64 divisors (see below), whose sum is σ = 241781760. Its totient is φ = 48417600.

The previous prime is 112317791. The next prime is 112317853. The reversal of 112317832 is 238713211.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112317832.

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 15 ways as a sum of consecutive naturals, for example, 426933 + ... + 427195.

It is an arithmetic number, because the mean of its divisors is an integer number (3777840).

Almost surely, 2112317832 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 112317832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120890880).

112317832 is an abundant number, since it is smaller than the sum of its proper divisors (129463928).

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

112317832 is a wasteful number, since it uses less digits than its factorization.

112317832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 112317832 is about 10598.0107567411. The cubic root of 112317832 is about 482.4839866897.

The spelling of 112317832 in words is "one hundred twelve million, three hundred seventeen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 211 253 263 422 506 526 844 1012 1052 1688 2024 2104 2321 2893 4642 4853 5786 6049 9284 9706 11572 12098 18568 19412 23144 24196 38824 48392 53383 55493 66539 106766 110986 133078 213532 221972 266156 427064 443944 532312 610423 1220846 1276339 2441692 2552678 4883384 5105356 10210712 14039729 28079458 56158916 112317832