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111409844 = 227131989181
BaseRepresentation
bin1101010001111…
…11101010110100
321202122012120112
412220333222310
5212010103334
615015522152
72521653020
oct650775264
9252565515
10111409844
1157984957
1231389358
131a109cb0
1410b21380
159baa4ce
hex6a3fab4

111409844 has 96 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 41057280.

The previous prime is 111409801. The next prime is 111409873. The reversal of 111409844 is 448904111.

It is a self number, because there is not a number n which added to its sum of digits gives 111409844.

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, 615434 + ... + 615614.

It is an arithmetic number, because the mean of its divisors is an integer number (2675400).

Almost surely, 2111409844 is an apocalyptic number.

111409844 is a gapful number since it is divisible by the number (14) 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 111409844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

111409844 is an abundant number, since it is smaller than the sum of its proper divisors (145428556).

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

111409844 is a wasteful number, since it uses less digits than its factorization.

111409844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 111409844 is about 10555.0861673413. The cubic root of 111409844 is about 481.1803186006.

The spelling of 111409844 in words is "one hundred eleven million, four hundred nine thousand, eight hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 89 91 133 178 181 182 247 266 356 362 364 494 532 623 724 988 1157 1246 1267 1691 1729 2314 2353 2492 2534 3382 3439 3458 4628 4706 5068 6764 6878 6916 8099 9412 11837 13756 16109 16198 16471 21983 23674 24073 32218 32396 32942 43966 44707 47348 48146 64436 65884 87932 89414 96292 112763 153881 178828 209417 225526 306071 307762 312949 418834 451052 612142 615524 625898 837668 1224284 1251796 1465919 2142497 2931838 3978923 4284994 5863676 7957846 8569988 15915692 27852461 55704922 111409844