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505141 = 7213261
BaseRepresentation
bin1111011010100110101
3221122220221
41323110311
5112131031
614454341
74202500
oct1732465
9848827
10505141
1131557a
122043b1
13148c00
14d2137
159ea11
hex7b535

505141 has 18 divisors (see below), whose sum is σ = 646722. Its totient is φ = 393120.

The previous prime is 505139. The next prime is 505157. The reversal of 505141 is 141505.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44100 + 461041 = 210^2 + 679^2 .

It is not a de Polignac number, because 505141 - 21 = 505139 is a prime.

505141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8251 + ... + 8311.

It is an arithmetic number, because the mean of its divisors is an integer number (35929).

2505141 is an apocalyptic number.

It is an amenable number.

505141 is a deficient number, since it is larger than the sum of its proper divisors (141581).

505141 is a wasteful number, since it uses less digits than its factorization.

505141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 505141 is about 710.7327205075. The cubic root of 505141 is about 79.6411531854.

Adding to 505141 its reverse (141505), we get a palindrome (646646).

It can be divided in two parts, 505 and 141, that added together give a palindrome (646).

The spelling of 505141 in words is "five hundred five thousand, one hundred forty-one".

Divisors: 1 7 13 49 61 91 169 427 637 793 1183 2989 5551 8281 10309 38857 72163 505141