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536085 = 33511192
BaseRepresentation
bin10000010111000010101
31000020101000
42002320111
5114123320
615253513
74361634
oct2027025
91006330
10536085
11336850
1221a299
1315a014
14dd51b
15a8c90
hex82e15

536085 has 48 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 246240.

The previous prime is 536069. The next prime is 536087. The reversal of 536085 is 580635.

536085 is a `hidden beast` number, since 53 + 608 + 5 = 666.

536085 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 536085 - 24 = 536069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28206 + ... + 28224.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2536085 is an apocalyptic number.

536085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

536085 is an abundant number, since it is smaller than the sum of its proper divisors (561195).

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

536085 is a wasteful number, since it uses less digits than its factorization.

536085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 536085 is about 732.1782569839. The cubic root of 536085 is about 81.2352557072.

It can be divided in two parts, 5360 and 85, that added together give a palindrome (5445).

The spelling of 536085 in words is "five hundred thirty-six thousand, eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 95 99 135 165 171 209 285 297 361 495 513 627 855 1045 1083 1485 1805 1881 2565 3135 3249 3971 5415 5643 9405 9747 11913 16245 19855 28215 35739 48735 59565 107217 178695 536085