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363020085 = 3258067113
BaseRepresentation
bin10101101000110…
…011111100110101
3221022002022221100
4111220303330311
51220413120320
6100004440313
711665422411
oct2550637465
9838068840
10363020085
11176a083aa
12a16a9099
135a2945ac
14362d9d41
1521d0b790
hex15a33f35

363020085 has 12 divisors (see below), whose sum is σ = 629234892. Its totient is φ = 193610688.

The previous prime is 363020083. The next prime is 363020093. The reversal of 363020085 is 580020363.

363020085 is a `hidden beast` number, since 3 + 630 + 20 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 176943204 + 186076881 = 13302^2 + 13641^2 .

It is not a de Polignac number, because 363020085 - 21 = 363020083 is a prime.

It is a super-2 number, since 2×3630200852 = 263567164226814450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363020083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4033512 + ... + 4033601.

It is an arithmetic number, because the mean of its divisors is an integer number (52436241).

Almost surely, 2363020085 is an apocalyptic number.

It is an amenable number.

363020085 is a deficient number, since it is larger than the sum of its proper divisors (266214807).

363020085 is a wasteful number, since it uses less digits than its factorization.

363020085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067124 (or 8067121 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 363020085 is about 19053.0859705193. The cubic root of 363020085 is about 713.3624054057.

The spelling of 363020085 in words is "three hundred sixty-three million, twenty thousand, eighty-five".

Divisors: 1 3 5 9 15 45 8067113 24201339 40335565 72604017 121006695 363020085