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85071090 = 23513218131
BaseRepresentation
bin1010001001000…
…01010011110010
312221002001121010
411010201103302
5133234233330
612235211350
72052043446
oct504412362
9187061533
1085071090
1144025195
12245a6b56
1314817630
14b426826
1577063b0
hex51214f2

85071090 has 32 divisors (see below), whose sum is σ = 219877056. Its totient is φ = 20940480.

The previous prime is 85071067. The next prime is 85071127. The reversal of 85071090 is 9017058.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 108676 + ... + 109455.

It is an arithmetic number, because the mean of its divisors is an integer number (6871158).

Almost surely, 285071090 is an apocalyptic number.

85071090 is an abundant number, since it is smaller than the sum of its proper divisors (134805966).

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

85071090 is a wasteful number, since it uses less digits than its factorization.

85071090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218154.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 85071090 is about 9223.3990480733. The cubic root of 85071090 is about 439.8055097735.

The spelling of 85071090 in words is "eighty-five million, seventy-one thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 218131 436262 654393 1090655 1308786 2181310 2835703 3271965 5671406 6543930 8507109 14178515 17014218 28357030 42535545 85071090