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86132196 = 22322392561
BaseRepresentation
bin1010010001001…
…00010111100100
320000001222011100
411020210113210
5134022212241
612314040100
72064053163
oct510442744
9200058140
1086132196
114468a437
1224a19030
1314ac95c7
14b6213da
1578659b6
hex52245e4

86132196 has 18 divisors (see below), whose sum is σ = 217723142. Its totient is φ = 28710720.

The previous prime is 86132191. The next prime is 86132197. The reversal of 86132196 is 69123168.

It can be written as a sum of positive squares in only one way, i.e., 67469796 + 18662400 = 8214^2 + 4320^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2392561 = 86132196 / (8 + 6 + 1 + 3 + 2 + 1 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 86132196.

It is not an unprimeable number, because it can be changed into a prime (86132191) 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 5 ways as a sum of consecutive naturals, for example, 1196245 + ... + 1196316.

Almost surely, 286132196 is an apocalyptic number.

It is an amenable number.

86132196 is an abundant number, since it is smaller than the sum of its proper divisors (131590946).

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

86132196 is a wasteful number, since it uses less digits than its factorization.

86132196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392571 (or 2392566 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 86132196 is about 9280.7432891983. The cubic root of 86132196 is about 441.6265485969.

Subtracting from 86132196 its reverse (69123168), we obtain a triangular number (17009028 = T5832).

The spelling of 86132196 in words is "eighty-six million, one hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2392561 4785122 7177683 9570244 14355366 21533049 28710732 43066098 86132196