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112074732 = 223371113477
BaseRepresentation
bin1101010111000…
…01111111101100
321210212222122000
412223201333230
5212142342412
615042052300
72530422330
oct653417754
9253788560
10112074732
1158299450
123164a090
131a2b0813
1410c557c0
159c8c4dc
hex6ae1fec

112074732 has 96 divisors (see below), whose sum is σ = 362288640. Its totient is φ = 29108160.

The previous prime is 112074731. The next prime is 112074733. The reversal of 112074732 is 237470211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112074731) and next prime (112074733).

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 = 112074696 and 112074705.

It is not an unprimeable number, because it can be changed into a prime (112074731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1578 + ... + 15054.

It is an arithmetic number, because the mean of its divisors is an integer number (3773840).

Almost surely, 2112074732 is an apocalyptic number.

112074732 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 112074732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181144320).

112074732 is an abundant number, since it is smaller than the sum of its proper divisors (250213908).

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

112074732 is a wasteful number, since it uses less digits than its factorization.

112074732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 112074732 is about 10586.5354106053. The cubic root of 112074732 is about 482.1356401601.

The spelling of 112074732 in words is "one hundred twelve million, seventy-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 13477 26954 40431 53908 80862 94339 121293 148247 161724 188678 242586 283017 296494 363879 377356 444741 485172 566034 592988 727758 849051 889482 1037729 1132068 1334223 1455516 1698102 1778964 2075458 2547153 2668446 3113187 3396204 4002669 4150916 5094306 5336892 6226374 8005338 9339561 10188612 12452748 16010676 18679122 28018683 37358244 56037366 112074732