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112342692 = 223721121579
BaseRepresentation
bin1101011001000…
…11011010100100
321211101121012110
412230203122210
5212224431232
615051521020
72532616500
oct654433244
9254347173
10112342692
1158461800
1231759170
131a375787
1410cc5300
159ce1acc
hex6b236a4

112342692 has 108 divisors (see below), whose sum is σ = 335383440. Its totient is φ = 29161440.

The previous prime is 112342691. The next prime is 112342721. The reversal of 112342692 is 296243211.

It is not an unprimeable number, because it can be changed into a prime (112342691) by changing a digit.

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, 70359 + ... + 71937.

Almost surely, 2112342692 is an apocalyptic number.

112342692 is a gapful number since it is divisible by the number (12) 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 112342692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167691720).

112342692 is an abundant number, since it is smaller than the sum of its proper divisors (223040748).

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

112342692 is a wasteful number, since it uses less digits than its factorization.

112342692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1602 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 112342692 is about 10599.1835534630. The cubic root of 112342692 is about 482.5195811180.

The spelling of 112342692 in words is "one hundred twelve million, three hundred forty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 1078 1452 1579 1617 1694 2156 2541 3158 3234 3388 4737 5082 5929 6316 6468 9474 10164 11053 11858 17369 17787 18948 22106 23716 33159 34738 35574 44212 52107 66318 69476 71148 77371 104214 121583 132636 154742 191059 208428 232113 243166 309484 364749 382118 464226 486332 573177 729498 764236 851081 928452 1146354 1337413 1458996 1702162 2292708 2553243 2674826 3404324 4012239 5106486 5349652 8024478 9361891 10212972 16048956 18723782 28085673 37447564 56171346 112342692