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85005020 = 2254250251
BaseRepresentation
bin1010001000100…
…01001011011100
312220221200222002
411010101023130
5133230130040
612233541432
72051350022
oct504211334
9186850862
1085005020
1143a8a591
1224574878
13147c3539
14b40a712
1576e1a15
hex51112dc

85005020 has 12 divisors (see below), whose sum is σ = 178510584. Its totient is φ = 34002000.

The previous prime is 85005001. The next prime is 85005059. The reversal of 85005020 is 2050058.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4250251 = 85005020 / (8 + 5 + 0 + 0 + 5 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 85004983 and 85005001.

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, 2125106 + ... + 2125145.

It is an arithmetic number, because the mean of its divisors is an integer number (14875882).

Almost surely, 285005020 is an apocalyptic number.

It is an amenable number.

85005020 is an abundant number, since it is smaller than the sum of its proper divisors (93505564).

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

85005020 is a wasteful number, since it uses less digits than its factorization.

85005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250260 (or 4250258 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 85005020 is about 9219.8167009979. The cubic root of 85005020 is about 439.6916227650.

Adding to 85005020 its reverse (2050058), we get a palindrome (87055078).

The spelling of 85005020 in words is "eighty-five million, five thousand, twenty".

Divisors: 1 2 4 5 10 20 4250251 8500502 17001004 21251255 42502510 85005020