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112323744 = 253213191579
BaseRepresentation
bin1101011000111…
…10110010100000
321211100122012200
412230132302200
5212223324434
615051253200
72532510321
oct654366240
9254318180
10112323744
1158449545
123174a200
131a369c70
1410cbc448
159cdb199
hex6b1eca0

112323744 has 144 divisors (see below), whose sum is σ = 362325600. Its totient is φ = 32721408.

The previous prime is 112323733. The next prime is 112323751. The reversal of 112323744 is 447323211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 70347 + ... + 71925.

It is an arithmetic number, because the mean of its divisors is an integer number (2516150).

Almost surely, 2112323744 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 112323744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181162800).

112323744 is an abundant number, since it is smaller than the sum of its proper divisors (250001856).

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

112323744 is a wasteful number, since it uses less digits than its factorization.

112323744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 112323744 is about 10598.2896733388. The cubic root of 112323744 is about 482.4924519388.

Adding to 112323744 its reverse (447323211), we get a palindrome (559646955).

The spelling of 112323744 in words is "one hundred twelve million, three hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1579 1824 1872 1976 2223 2736 2964 3158 3744 3952 4446 4737 5472 5928 6316 7904 8892 9474 11856 12632 14211 17784 18948 20527 23712 25264 28422 30001 35568 37896 41054 50528 56844 60002 61581 71136 75792 82108 90003 113688 120004 123162 151584 164216 180006 184743 227376 240008 246324 270009 328432 360012 369486 390013 454752 480016 492648 540018 656864 720024 738972 780026 960032 985296 1080036 1170039 1440048 1477944 1560052 1970592 2160072 2340078 2880096 2955888 3120104 3510117 4320144 4680156 5911776 6240208 7020234 8640288 9360312 12480416 14040468 18720624 28080936 37441248 56161872 112323744