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12110742 = 2337223199
BaseRepresentation
bin101110001100…
…101110010110
3211210021211000
4232030232112
511100020432
61111324130
7204640200
oct56145626
924707730
1012110742
116921a86
124080646
132680527
141873770
1510e357c
hexb8cb96

12110742 has 96 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 3293136.

The previous prime is 12110723. The next prime is 12110789. The reversal of 12110742 is 24701121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 60759 + ... + 60957.

It is an arithmetic number, because the mean of its divisors is an integer number (342000).

Almost surely, 212110742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

12110742 is an abundant number, since it is smaller than the sum of its proper divisors (20721258).

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

12110742 is a wasteful number, since it uses less digits than its factorization.

12110742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12110742 is about 3480.0491375841. The cubic root of 12110742 is about 229.6449594685.

Adding to 12110742 its reverse (24701121), we get a palindrome (36811863).

The spelling of 12110742 in words is "twelve million, one hundred ten thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 199 207 294 322 378 398 414 441 483 597 621 882 966 1127 1194 1242 1323 1393 1449 1791 2254 2646 2786 2898 3381 3582 4179 4347 4577 5373 6762 8358 8694 9154 9751 10143 10746 12537 13731 19502 20286 25074 27462 29253 30429 32039 37611 41193 58506 60858 64078 75222 82386 87759 96117 123579 175518 192234 224273 247158 263277 288351 448546 526554 576702 672819 865053 1345638 1730106 2018457 4036914 6055371 12110742