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86394 = 23711217
BaseRepresentation
bin10101000101111010
311101111210
4111011322
510231034
61503550
7506610
oct250572
9141453
1086394
1159a00
1241bb6
1330429
14236b0
151a8e9
hex1517a

86394 has 48 divisors (see below), whose sum is σ = 229824. Its totient is φ = 21120.

The previous prime is 86389. The next prime is 86399. The reversal of 86394 is 49368.

It is an interprime number because it is at equal distance from previous prime (86389) and next prime (86399).

It is not an unprimeable number, because it can be changed into a prime (86399) by changing a digit.

86394 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5074 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

286394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912).

86394 is an abundant number, since it is smaller than the sum of its proper divisors (143430).

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

86394 is a wasteful number, since it uses less digits than its factorization.

86394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 86394 is about 293.9285627495. The cubic root of 86394 is about 44.2073546179.

The spelling of 86394 in words is "eighty-six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 121 154 187 231 238 242 357 363 374 462 561 714 726 847 1122 1309 1694 2057 2541 2618 3927 4114 5082 6171 7854 12342 14399 28798 43197 86394