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86205204 = 223219126031
BaseRepresentation
bin1010010001101…
…10001100010100
320000012200022100
411020312030110
5134032031304
612315402100
72064506061
oct510661424
9200180270
1086205204
114472a278
1224a53330
1314b238c7
14b63dc68
15787c439
hex5236314

86205204 has 36 divisors (see below), whose sum is σ = 229378240. Its totient is φ = 27222480.

The previous prime is 86205199. The next prime is 86205209. The reversal of 86205204 is 40250268.

It is an interprime number because it is at equal distance from previous prime (86205199) and next prime (86205209).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86205209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62332 + ... + 63699.

Almost surely, 286205204 is an apocalyptic number.

It is an amenable number.

86205204 is an abundant number, since it is smaller than the sum of its proper divisors (143173036).

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

86205204 is a wasteful number, since it uses less digits than its factorization.

86205204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126060 (or 126055 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86205204 is about 9284.6757617054. The cubic root of 86205204 is about 441.7512915967.

It can be divided in two parts, 8620 and 5204, that added together give a cube (13824 = 243).

The spelling of 86205204 in words is "eighty-six million, two hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 126031 252062 378093 504124 756186 1134279 1512372 2268558 2394589 4537116 4789178 7183767 9578356 14367534 21551301 28735068 43102602 86205204