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85640128 = 267191161
BaseRepresentation
bin1010001101011…
…00001111000000
312222010222011121
411012230033000
5133410441003
612255322024
72056633450
oct506541700
9188128147
1085640128
1144383772
1224820314
1314986642
14b533d60
1577b9cbd
hex51ac3c0

85640128 has 28 divisors (see below), whose sum is σ = 194220592. Its totient is φ = 36702720.

The previous prime is 85640119. The next prime is 85640143. The reversal of 85640128 is 82104658.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 85640093 and 85640102.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 95133 + ... + 96028.

Almost surely, 285640128 is an apocalyptic number.

It is an amenable number.

85640128 is an abundant number, since it is smaller than the sum of its proper divisors (108580464).

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

85640128 is a wasteful number, since it uses less digits than its factorization.

85640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191180 (or 191170 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85640128 is about 9254.1951567924. The cubic root of 85640128 is about 440.7839467673.

The spelling of 85640128 in words is "eighty-five million, six hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 191161 382322 764644 1338127 1529288 2676254 3058576 5352508 6117152 10705016 12234304 21410032 42820064 85640128