Search a number
-
+
85000068 = 223217138889
BaseRepresentation
bin1010001000011…
…11111110000100
312220221110011200
411010033332010
5133230000233
612233502500
72051326416
oct504177604
9186843150
1085000068
1143a8689a
1224571a30
13147c11ca
14b4089b6
1576e0313
hex510ff84

85000068 has 36 divisors (see below), whose sum is σ = 227501820. Its totient is φ = 26666496.

The previous prime is 85000067. The next prime is 85000081. The reversal of 85000068 is 86000058.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 61496964 = 4848^2 + 7842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (85000067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68833 + ... + 70056.

It is an arithmetic number, because the mean of its divisors is an integer number (6319495).

Almost surely, 285000068 is an apocalyptic number.

It is an amenable number.

85000068 is an abundant number, since it is smaller than the sum of its proper divisors (142501752).

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

85000068 is a wasteful number, since it uses less digits than its factorization.

85000068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138916 (or 138911 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85000068 is about 9219.5481451099. The cubic root of 85000068 is about 439.6830844646.

The spelling of 85000068 in words is "eighty-five million, sixty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 138889 277778 416667 555556 833334 1250001 1666668 2361113 2500002 4722226 5000004 7083339 9444452 14166678 21250017 28333356 42500034 85000068