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83085066 = 23231714561
BaseRepresentation
bin1001111001111…
…00011100001010
312210100011021200
410330330130022
5132232210231
612124445030
72026132341
oct474743412
9183304250
1083085066
1142999049
12239a9776
13142a067c
14b06ab58
157462be6
hex4f3c70a

83085066 has 24 divisors (see below), whose sum is σ = 180597924. Its totient is φ = 27605760.

The previous prime is 83085019. The next prime is 83085071. The reversal of 83085066 is 66058038.

It can be written as a sum of positive squares in 2 ways, for example, as 82901025 + 184041 = 9105^2 + 429^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83085066.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575 + ... + 12986.

Almost surely, 283085066 is an apocalyptic number.

83085066 is an abundant number, since it is smaller than the sum of its proper divisors (97512858).

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

83085066 is a wasteful number, since it uses less digits than its factorization.

83085066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886 (or 14883 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 83085066 is about 9115.1009868240. The cubic root of 83085066 is about 436.3560379122.

The spelling of 83085066 in words is "eighty-three million, eighty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 18 317 634 951 1902 2853 5706 14561 29122 43683 87366 131049 262098 4615837 9231674 13847511 27695022 41542533 83085066