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85680108 = 22322380003
BaseRepresentation
bin1010001101101…
…01111111101100
312222020000000100
411012311333230
5133413230413
612300231100
72060161143
oct506657754
9188200010
1085680108
1144400808
122483b490
131499b8b7
14b54475a
1577c6a73
hex51b5fec

85680108 has 18 divisors (see below), whose sum is σ = 216580364. Its totient is φ = 28560024.

The previous prime is 85680073. The next prime is 85680131. The reversal of 85680108 is 80108658.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2380003 = 85680108 / (8 + 5 + 6 + 8 + 0 + 1 + 0 + 8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1189966 + ... + 1190037.

Almost surely, 285680108 is an apocalyptic number.

It is an amenable number.

85680108 is an abundant number, since it is smaller than the sum of its proper divisors (130900256).

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

85680108 is a wasteful number, since it uses less digits than its factorization.

85680108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380013 (or 2380008 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 85680108 is about 9256.3550061566. The cubic root of 85680108 is about 440.8525275484.

The spelling of 85680108 in words is "eighty-five million, six hundred eighty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2380003 4760006 7140009 9520012 14280018 21420027 28560036 42840054 85680108