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112023772 = 22719435983
BaseRepresentation
bin1101010110101…
…01100011011100
321210210101201121
412223111203130
5212134230042
615041020324
72530120630
oct653254334
9253711647
10112023772
1158264133
12316246a4
131a293573
1410c40dc0
159c7c367
hex6ad58dc

112023772 has 96 divisors (see below), whose sum is σ = 248371200. Its totient is φ = 43146432.

The previous prime is 112023763. The next prime is 112023787. The reversal of 112023772 is 277320211.

It is a super-3 number, since 3×1120237723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349643 + ... + 1349725.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 2112023772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112023772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124185600).

112023772 is an abundant number, since it is smaller than the sum of its proper divisors (136347428).

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

112023772 is a wasteful number, since it uses less digits than its factorization.

112023772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 112023772 is about 10584.1283061006. The cubic root of 112023772 is about 482.0625539355.

Adding to 112023772 its reverse (277320211), we get a palindrome (389343983).

The spelling of 112023772 in words is "one hundred twelve million, twenty-three thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 43 59 76 83 86 118 133 166 172 236 266 301 332 413 532 581 602 817 826 1121 1162 1204 1577 1634 1652 2242 2324 2537 3154 3268 3569 4484 4897 5074 5719 6308 7138 7847 9794 10148 11039 11438 14276 15694 17759 19588 22078 22876 24983 31388 34279 35518 44156 48203 49966 67811 68558 71036 93043 96406 99932 135622 137116 186086 192812 210571 271244 337421 372172 421142 474677 651301 674842 842284 949354 1302602 1349684 1473997 1898708 2605204 2947994 4000849 5895988 8001698 16003396 28005943 56011886 112023772