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86164704 = 25321717599
BaseRepresentation
bin1010010001011…
…00010011100000
320000010121202100
411020230103200
5134024232304
612314450400
72064250023
oct510542340
9200117670
1086164704
11447018aa
1224a33a00
1314b0b342
14b62d1ba
157870439
hex522c4e0

86164704 has 72 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 27030528.

The previous prime is 86164703. The next prime is 86164709. The reversal of 86164704 is 40746168.

86164704 is a `hidden beast` number, since 8 + 6 + 1 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86164703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3904 + ... + 13695.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 286164704 is an apocalyptic number.

It is an amenable number.

86164704 is an abundant number, since it is smaller than the sum of its proper divisors (173294496).

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

86164704 is a wasteful number, since it uses less digits than its factorization.

86164704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86164704 is about 9282.4944923226. The cubic root of 86164704 is about 441.6821011496.

It can be divided in two parts, 86164 and 704, that added together give a palindrome (86868).

The spelling of 86164704 in words is "eighty-six million, one hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 17599 35198 52797 70396 105594 140792 158391 211188 281584 299183 316782 422376 563168 598366 633564 844752 897549 1196732 1267128 1689504 1795098 2393464 2534256 2692647 3590196 4786928 5068512 5385294 7180392 9573856 10770588 14360784 21541176 28721568 43082352 86164704