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111898368 = 283316189
BaseRepresentation
bin1101010101101…
…10111100000000
321210120000201000
412222312330000
5212121221433
615034212000
72526056211
oct652667400
9253500630
10111898368
115818899a
1231584000
131a24b46a
1410c0b408
159c55113
hex6ab6f00

111898368 has 72 divisors (see below), whose sum is σ = 330923600. Its totient is φ = 37297152.

The previous prime is 111898361. The next prime is 111898373. The reversal of 111898368 is 863898111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1118983682 = 25042489522126848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111898361) 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 7 ways as a sum of consecutive naturals, for example, 1183 + ... + 15006.

Almost surely, 2111898368 is an apocalyptic number.

111898368 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 111898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165461800).

111898368 is an abundant number, since it is smaller than the sum of its proper divisors (219025232).

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

111898368 is an equidigital number, since it uses as much as digits as its factorization.

111898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16214 (or 16194 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 111898368 is about 10578.2024938077. The cubic root of 111898368 is about 481.8826065810.

The spelling of 111898368 in words is "one hundred eleven million, eight hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 16189 32378 48567 64756 97134 129512 145701 194268 259024 291402 388536 437103 518048 582804 777072 874206 1036096 1165608 1554144 1748412 2072192 2331216 3108288 3496824 4144384 4662432 6216576 6993648 9324864 12433152 13987296 18649728 27974592 37299456 55949184 111898368