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112340556 = 223217232347
BaseRepresentation
bin1101011001000…
…10111001001100
321211101111021100
412230202321030
5212224344211
615051503100
72532610326
oct654427114
9254344240
10112340556
1158460139
1231757a90
131a374803
1410cc4616
159ce1156
hex6b22e4c

112340556 has 108 divisors (see below), whose sum is σ = 315223272. Its totient is φ = 33614592.

The previous prime is 112340537. The next prime is 112340603. The reversal of 112340556 is 655043211.

112340556 = 3292 + 3302 + ... + 7192.

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 35 ways as a sum of consecutive naturals, for example, 323575 + ... + 323921.

It is an arithmetic number, because the mean of its divisors is an integer number (2918734).

Almost surely, 2112340556 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 112340556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157611636).

112340556 is an abundant number, since it is smaller than the sum of its proper divisors (202882716).

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

112340556 is a wasteful number, since it uses less digits than its factorization.

112340556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 112340556 is about 10599.0827905060. The cubic root of 112340556 is about 482.5165230097.

Adding to 112340556 its reverse (655043211), we get a palindrome (767383767).

It can be divided in two parts, 112340 and 556, that added together give a square (112896 = 3362).

The spelling of 112340556 in words is "one hundred twelve million, three hundred forty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 347 391 414 529 612 694 782 828 1041 1058 1173 1388 1564 1587 2082 2116 2346 3123 3174 3519 4164 4692 4761 5899 6246 6348 7038 7981 8993 9522 11798 12492 14076 15962 17697 17986 19044 23596 23943 26979 31924 35394 35972 47886 53091 53958 70788 71829 80937 95772 106182 107916 135677 143658 161874 183563 212364 271354 287316 323748 367126 407031 542708 550689 734252 814062 1101378 1221093 1628124 1652067 2202756 2442186 3120571 3304134 4884372 6241142 6608268 9361713 12482284 18723426 28085139 37446852 56170278 112340556