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86324364 = 22327509673
BaseRepresentation
bin1010010010100…
…11010010001100
320000102201202200
411021103102030
5134044334424
612322121500
72065513350
oct511232214
9200381680
1086324364
1144800855
1224ab0290
1314b65c09
14b671460
1578a28c9
hex525348c

86324364 has 72 divisors (see below), whose sum is σ = 250242720. Its totient is φ = 24579072.

The previous prime is 86324363. The next prime is 86324369. The reversal of 86324364 is 46342368.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (86324363) 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 23 ways as a sum of consecutive naturals, for example, 127932 + ... + 128604.

Almost surely, 286324364 is an apocalyptic number.

86324364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86324364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125121360).

86324364 is an abundant number, since it is smaller than the sum of its proper divisors (163918356).

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

86324364 is a wasteful number, since it uses less digits than its factorization.

86324364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1194 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 86324364 is about 9291.0905710794. The cubic root of 86324364 is about 441.9547396719.

It can be divided in two parts, 8632 and 4364, that added together give a square (12996 = 1142).

The spelling of 86324364 in words is "eighty-six million, three hundred twenty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 509 673 1018 1346 1527 2019 2036 2692 3054 3563 4038 4581 4711 6057 6108 7126 8076 9162 9422 10689 12114 14133 14252 18324 18844 21378 24228 28266 32067 42399 42756 56532 64134 84798 128268 169596 342557 685114 1027671 1370228 2055342 2397899 3083013 4110684 4795798 6166026 7193697 9591596 12332052 14387394 21581091 28774788 43162182 86324364