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86320768 = 276171093
BaseRepresentation
bin1010010010100…
…10011010000000
320000102112211111
411021102122000
5134044231033
612322053104
72065500022
oct511223200
9200375744
1086320768
11447a9086
1224aaa194
1314b643a1
14b670012
1578a17cd
hex5252680

86320768 has 32 divisors (see below), whose sum is σ = 172403460. Its totient is φ = 43051008.

The previous prime is 86320763. The next prime is 86320777. The reversal of 86320768 is 86702368.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86266944 + 53824 = 9288^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 86320768.

It is not an unprimeable number, because it can be changed into a prime (86320763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78430 + ... + 79522.

Almost surely, 286320768 is an apocalyptic number.

It is an amenable number.

86320768 is a deficient number, since it is larger than the sum of its proper divisors (86082692).

86320768 is a wasteful number, since it uses less digits than its factorization.

86320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 86320768 is about 9290.8970503391. The cubic root of 86320768 is about 441.9486027744.

The spelling of 86320768 in words is "eighty-six million, three hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 617 1093 1234 2186 2468 4372 4936 8744 9872 17488 19744 34976 39488 69952 78976 139904 674381 1348762 2697524 5395048 10790096 21580192 43160384 86320768