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20030085 = 345192137
BaseRepresentation
bin100110001101…
…0001010000101
31101200122010000
41030122022011
520111430320
61553151513
7332152515
oct114321205
941618100
1020030085
1110340999
12685b599
1341c402a
142935845
151b59c90
hex131a285

20030085 has 60 divisors (see below), whose sum is σ = 38171628. Its totient is φ = 10046592.

The previous prime is 20030081. The next prime is 20030089. The reversal of 20030085 is 58003002.

It is an interprime number because it is at equal distance from previous prime (20030081) and next prime (20030089).

It can be written as a sum of positive squares in 2 ways, for example, as 9474084 + 10556001 = 3078^2 + 3249^2 .

It is not a de Polignac number, because 20030085 - 22 = 20030081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030081) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 146137 + ... + 146273.

Almost surely, 220030085 is an apocalyptic number.

It is an amenable number.

20030085 is a deficient number, since it is larger than the sum of its proper divisors (18141543).

20030085 is a wasteful number, since it uses less digits than its factorization.

20030085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20030085 is about 4475.4982962794. The cubic root of 20030085 is about 271.5777988943.

Adding to 20030085 its reverse (58003002), we get a palindrome (78033087).

The spelling of 20030085 in words is "twenty million, thirty thousand, eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 137 171 285 361 405 411 513 685 855 1083 1233 1539 1805 2055 2565 2603 3249 3699 5415 6165 7695 7809 9747 11097 13015 16245 18495 23427 29241 39045 48735 49457 55485 70281 117135 146205 148371 210843 247285 351405 445113 741855 1054215 1335339 2225565 4006017 6676695 20030085