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112346080 = 2557112829
BaseRepresentation
bin1101011001001…
…00001111100000
321211101202211221
412230210033200
5212230033310
615051544424
72532632410
oct654441740
9254352757
10112346080
1158464300
123175b114
131a377192
1410cc6640
159ce2ada
hex6b243e0

112346080 has 144 divisors (see below), whose sum is σ = 333819360. Its totient is φ = 34974720.

The previous prime is 112346063. The next prime is 112346111. The reversal of 112346080 is 80643211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135106 + ... + 135934.

It is an arithmetic number, because the mean of its divisors is an integer number (2318190).

Almost surely, 2112346080 is an apocalyptic number.

112346080 is a gapful number since it is divisible by the number (10) 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 112346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166909680).

112346080 is an abundant number, since it is smaller than the sum of its proper divisors (221473280).

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

112346080 is a wasteful number, since it uses less digits than its factorization.

112346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 112346080 is about 10599.3433758889. The cubic root of 112346080 is about 482.5244316336.

Adding to 112346080 its reverse (80643211), we get a palindrome (192989291).

The spelling of 112346080 in words is "one hundred twelve million, three hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 829 847 880 968 1120 1210 1232 1540 1658 1694 1760 1936 2420 2464 3080 3316 3388 3872 4145 4235 4840 5803 6160 6632 6776 8290 8470 9119 9680 11606 12320 13264 13552 16580 16940 18238 19360 23212 26528 27104 29015 33160 33880 36476 45595 46424 58030 63833 66320 67760 72952 91190 92848 100309 116060 127666 132640 135520 145904 182380 185696 200618 232120 255332 291808 319165 364760 401236 464240 501545 510664 638330 702163 729520 802472 928480 1003090 1021328 1276660 1404326 1459040 1604944 2006180 2042656 2553320 2808652 3209888 3510815 4012360 5106640 5617304 7021630 8024720 10213280 11234608 14043260 16049440 22469216 28086520 56173040 112346080