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111992664 = 233729127181
BaseRepresentation
bin1101010110011…
…01111101011000
321210201211001110
412223031331120
5212132231124
615040220320
72526631140
oct653157530
9253654043
10111992664
1158242823
123160a6a0
131a282364
1410c33920
159c73029
hex6acdf58

111992664 has 128 divisors (see below), whose sum is σ = 335462400. Its totient is φ = 30481920.

The previous prime is 111992663. The next prime is 111992701. The reversal of 111992664 is 466299111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111992663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618654 + ... + 618834.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2111992664 is an apocalyptic number.

111992664 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 111992664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

111992664 is an abundant number, since it is smaller than the sum of its proper divisors (223469736).

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

111992664 is a wasteful number, since it uses less digits than its factorization.

111992664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 111992664 is about 10582.6586451610. The cubic root of 111992664 is about 482.0179283174.

The spelling of 111992664 in words is "one hundred eleven million, nine hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 127 168 174 181 203 232 254 348 362 381 406 508 543 609 696 724 762 812 889 1016 1086 1218 1267 1448 1524 1624 1778 2172 2436 2534 2667 3048 3556 3683 3801 4344 4872 5068 5249 5334 7112 7366 7602 10136 10498 10668 11049 14732 15204 15747 20996 21336 22098 22987 25781 29464 30408 31494 36743 41992 44196 45974 51562 62988 68961 73486 77343 88392 91948 103124 110229 125976 137922 146972 154686 160909 183896 206248 220458 275844 293944 309372 321818 440916 482727 551688 618744 643636 666623 881832 965454 1287272 1333246 1930908 1999869 2666492 3861816 3999738 4666361 5332984 7999476 9332722 13999083 15998952 18665444 27998166 37330888 55996332 111992664