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112075974 = 2353143173
BaseRepresentation
bin1101010111000…
…10010011000110
321210220001100000
412223202103012
5212142412344
615042102130
72530426053
oct653422306
9253801300
10112075974
115829a37a
123164a946
131a2b125a
1410c5602a
159c8ca69
hex6ae24c6

112075974 has 96 divisors (see below), whose sum is σ = 267531264. Its totient is φ = 35108640.

The previous prime is 112075969. The next prime is 112075991. The reversal of 112075974 is 479570211.

It is a happy number.

It is a super-2 number, since 2×1120759742 = 25122047896097352, which contains 22 as substring.

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, 647752 + ... + 647924.

It is an arithmetic number, because the mean of its divisors is an integer number (2786784).

Almost surely, 2112075974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112075974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133765632).

112075974 is an abundant number, since it is smaller than the sum of its proper divisors (155455290).

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

112075974 is a wasteful number, since it uses less digits than its factorization.

112075974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 112075974 is about 10586.5940698602. The cubic root of 112075974 is about 482.1374211451.

The spelling of 112075974 in words is "one hundred twelve million, seventy-five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 43 54 62 81 86 93 129 162 173 186 243 258 279 346 387 486 519 558 774 837 1038 1161 1333 1557 1674 2322 2511 2666 3114 3483 3999 4671 5022 5363 6966 7439 7533 7998 9342 10449 10726 11997 14013 14878 15066 16089 20898 22317 23994 28026 32178 35991 42039 44634 48267 66951 71982 84078 96534 107973 133902 144801 200853 215946 230609 289602 323919 401706 434403 461218 602559 647838 691827 868806 1205118 1303209 1383654 1807677 2075481 2606418 3615354 4150962 6226443 12452886 18679329 37358658 56037987 112075974