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111784068 = 2232111983179
BaseRepresentation
bin1101010100110…
…11000010000100
321210100012220200
412222123002010
5212104042233
615031530500
72525102034
oct652330204
9253305820
10111784068
1158110030
1231529a30
131a20b426
1410bbb8c4
159c31313
hex6a9b084

111784068 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 31527360.

The previous prime is 111784063. The next prime is 111784069. The reversal of 111784068 is 860487111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (111784063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624403 + ... + 624581.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2111784068 is an apocalyptic number.

111784068 is a gapful number since it is divisible by the number (18) 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 111784068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

111784068 is an abundant number, since it is smaller than the sum of its proper divisors (218436732).

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

111784068 is a wasteful number, since it uses less digits than its factorization.

111784068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 111784068 is about 10572.7984942493. The cubic root of 111784068 is about 481.7184756607.

The spelling of 111784068 in words is "one hundred eleven million, seven hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 83 99 114 132 166 171 179 198 209 228 249 332 342 358 396 418 498 537 627 684 716 747 836 913 996 1074 1254 1494 1577 1611 1826 1881 1969 2148 2508 2739 2988 3154 3222 3401 3652 3762 3938 4731 5478 5907 6308 6444 6802 7524 7876 8217 9462 10203 10956 11814 13604 14193 14857 16434 17347 17721 18924 20406 23628 28386 29714 30609 32868 34694 35442 37411 40812 44571 52041 56772 59428 61218 69388 70884 74822 89142 104082 112233 122436 133713 149644 156123 163427 178284 208164 224466 267426 282283 312246 326854 336699 448932 490281 534852 564566 624492 653708 673398 846849 980562 1129132 1346796 1470843 1693698 1961124 2540547 2941686 3105113 3387396 5081094 5883372 6210226 9315339 10162188 12420452 18630678 27946017 37261356 55892034 111784068