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505305135 = 3552914341
BaseRepresentation
bin11110000111100…
…101100000101111
31022012211011100000
4132013211200233
52013324231020
6122050235343
715344010546
oct3607454057
91265734300
10505305135
1123a260255
12121285b53
13808c1a2a
144b17715d
152e565090
hex1e1e582f

505305135 has 48 divisors (see below), whose sum is σ = 939687840. Its totient is φ = 260184960.

The previous prime is 505305091. The next prime is 505305139. The reversal of 505305135 is 531503505.

505305135 is a `hidden beast` number, since 50 + 530 + 51 + 35 = 666.

It is not a de Polignac number, because 505305135 - 26 = 505305071 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 505305099 and 505305108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505305139) 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, 28065 + ... + 42405.

It is an arithmetic number, because the mean of its divisors is an integer number (19576830).

Almost surely, 2505305135 is an apocalyptic number.

505305135 is a deficient number, since it is larger than the sum of its proper divisors (434382705).

505305135 is a wasteful number, since it uses less digits than its factorization.

505305135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14390 (or 14378 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 505305135 is about 22478.9931936464. The cubic root of 505305135 is about 796.4977816019.

The spelling of 505305135 in words is "five hundred five million, three hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 783 1215 1305 2349 3915 7047 11745 14341 35235 43023 71705 129069 215115 387207 415889 645345 1161621 1247667 1936035 2079445 3484863 3743001 5808105 6238335 11229003 17424315 18715005 33687009 56145015 101061027 168435045 505305135