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111890064 = 243111316301
BaseRepresentation
bin1101010101101…
…00111010010000
321210112121022110
412222310322100
5212120440224
615034105320
72526023046
oct652647220
9253477273
10111890064
1158182730
123157b240
131a247750
1410c08396
159c52929
hex6ab4e90

111890064 has 80 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 31296000.

The previous prime is 111890063. The next prime is 111890071. The reversal of 111890064 is 460098111.

It is not an unprimeable number, because it can be changed into a prime (111890063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287 + ... + 15014.

Almost surely, 2111890064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111890064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

111890064 is an abundant number, since it is smaller than the sum of its proper divisors (227713200).

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

111890064 is a wasteful number, since it uses less digits than its factorization.

111890064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16336 (or 16330 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 111890064 is about 10577.8099812768. The cubic root of 111890064 is about 481.8706860850.

The spelling of 111890064 in words is "one hundred eleven million, eight hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 16301 32602 48903 65204 97806 130408 179311 195612 211913 260816 358622 391224 423826 537933 635739 717244 782448 847652 1075866 1271478 1434488 1695304 2151732 2331043 2542956 2868976 3390608 4303464 4662086 5085912 6993129 8606928 9324172 10171824 13986258 18648344 27972516 37296688 55945032 111890064