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196038585 = 32543310061
BaseRepresentation
bin10111010111101…
…00111110111001
3111122212210101100
423223310332321
5400141213320
631241442013
74600205031
oct1353647671
9448783340
10196038585
11a0727766
12557a0309
13317cb182
141c0708c1
1512325790
hexbaf4fb9

196038585 has 24 divisors (see below), whose sum is σ = 340618824. Its totient is φ = 104302080.

The previous prime is 196038569. The next prime is 196038587. The reversal of 196038585 is 585830691.

196038585 is a `hidden beast` number, since 1 + 9 + 60 + 3 + 8 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3606201 + 192432384 = 1899^2 + 13872^2 .

It is not a de Polignac number, because 196038585 - 24 = 196038569 is a prime.

It is a super-2 number, since 2×1960385852 = 76862253617604450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 196038585.

It is not an unprimeable number, because it can be changed into a prime (196038587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14455 + ... + 24515.

It is an arithmetic number, because the mean of its divisors is an integer number (14192451).

Almost surely, 2196038585 is an apocalyptic number.

196038585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

196038585 is a deficient number, since it is larger than the sum of its proper divisors (144580239).

196038585 is a wasteful number, since it uses less digits than its factorization.

196038585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 196038585 is about 14001.3779679002. The cubic root of 196038585 is about 580.9166885420.

The spelling of 196038585 in words is "one hundred ninety-six million, thirty-eight thousand, five hundred eighty-five".

Divisors: 1 3 5 9 15 45 433 1299 2165 3897 6495 10061 19485 30183 50305 90549 150915 452745 4356413 13069239 21782065 39207717 65346195 196038585