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85680018 = 2341673167
BaseRepresentation
bin1010001101101…
…01111110010010
312222012222220000
411012311332102
5133413230033
612300230430
72060160654
oct506657622
9188188800
1085680018
1144400736
122483b416
131499b848
14b5446d4
1577c6a13
hex51b5f92

85680018 has 40 divisors (see below), whose sum is σ = 193197312. Its totient is φ = 28380024.

The previous prime is 85680011. The next prime is 85680019. The reversal of 85680018 is 81008658.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85680011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25471 + ... + 28637.

Almost surely, 285680018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85680018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96598656).

85680018 is an abundant number, since it is smaller than the sum of its proper divisors (107517294).

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

85680018 is a wasteful number, since it uses less digits than its factorization.

85680018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3339 counting only the distinct ones).

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

The square root of 85680018 is about 9256.3501446304. The cubic root of 85680018 is about 440.8523731884.

The spelling of 85680018 in words is "eighty-five million, six hundred eighty thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 1002 1503 3006 3167 4509 6334 9018 9501 13527 19002 27054 28503 57006 85509 171018 256527 513054 528889 1057778 1586667 3173334 4760001 9520002 14280003 28560006 42840009 85680018