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112394310 = 235717191657
BaseRepresentation
bin1101011001100…
…00000001000110
321211111020000020
412230300001012
5212233104220
615053000010
72533223130
oct654600106
9254436006
10112394310
1158497566
1231783006
131a393112
1410cda050
159d02040
hex6b30046

112394310 has 128 divisors (see below), whose sum is σ = 343802880. Its totient is φ = 22892544.

The previous prime is 112394281. The next prime is 112394311. The reversal of 112394310 is 13493211.

It is a super-2 number, since 2×1123943102 = 25264961840752200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112394311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67002 + ... + 68658.

It is an arithmetic number, because the mean of its divisors is an integer number (2685960).

Almost surely, 2112394310 is an apocalyptic number.

112394310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112394310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171901440).

112394310 is an abundant number, since it is smaller than the sum of its proper divisors (231408570).

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

112394310 is a wasteful number, since it uses less digits than its factorization.

112394310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 112394310 is about 10601.6182726978. The cubic root of 112394310 is about 482.5934707547.

The spelling of 112394310 in words is "one hundred twelve million, three hundred ninety-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 19 21 30 34 35 38 42 51 57 70 85 95 102 105 114 119 133 170 190 210 238 255 266 285 323 357 399 510 570 595 646 665 714 798 969 1190 1330 1615 1657 1785 1938 1995 2261 3230 3314 3570 3990 4522 4845 4971 6783 8285 9690 9942 11305 11599 13566 16570 22610 23198 24855 28169 31483 33915 34797 49710 56338 57995 62966 67830 69594 84507 94449 115990 140845 157415 169014 173985 188898 197183 220381 281690 314830 347970 394366 422535 440762 472245 535211 591549 661143 845070 944490 985915 1070422 1101905 1183098 1322286 1605633 1971830 2203810 2676055 2957745 3211266 3305715 3746477 5352110 5915490 6611430 7492954 8028165 11239431 16056330 18732385 22478862 37464770 56197155 112394310