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112437234 = 23471329263
BaseRepresentation
bin1101011001110…
…10011111110010
321211120101220000
412230322133302
5212240442414
615053530430
72533462230
oct654723762
9254511800
10112437234
1158516838
12317a3a16
131a3a9810
1410d0b950
159d0eb09
hex6b3a7f2

112437234 has 160 divisors (see below), whose sum is σ = 321995520. Its totient is φ = 28522368.

The previous prime is 112437223. The next prime is 112437251. The reversal of 112437234 is 432734211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112437198 and 112437207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427387 + ... + 427649.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2112437234 is an apocalyptic number.

112437234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112437234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160997760).

112437234 is an abundant number, since it is smaller than the sum of its proper divisors (209558286).

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

112437234 is a wasteful number, since it uses less digits than its factorization.

112437234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 317 counting only the distinct ones).

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

The square root of 112437234 is about 10603.6424873720. The cubic root of 112437234 is about 482.6548979618.

The spelling of 112437234 in words is "one hundred twelve million, four hundred thirty-seven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 29 39 42 54 58 63 78 81 87 91 117 126 162 174 182 189 203 234 261 263 273 351 377 378 406 522 526 546 567 609 702 754 783 789 819 1053 1131 1134 1218 1566 1578 1638 1827 1841 2106 2262 2349 2367 2457 2639 3393 3419 3654 3682 4698 4734 4914 5278 5481 5523 6786 6838 7101 7371 7627 7917 10179 10257 10962 11046 14202 14742 15254 15834 16443 16569 20358 20514 21303 22881 23751 23933 30537 30771 32886 33138 42606 45762 47502 47866 49707 53389 61074 61542 68643 71253 71799 92313 99151 99414 106778 137286 142506 143598 149121 160167 184626 198302 205929 213759 215397 276939 297453 298242 320334 411858 427518 430794 480501 553878 594906 617787 646191 694057 892359 961002 1235574 1292382 1388114 1441503 1784718 1938573 2082171 2677077 2883006 3877146 4164342 4324509 5354154 6246513 8031231 8649018 12493026 16062462 18739539 37479078 56218617 112437234