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531405 = 32572241
BaseRepresentation
bin10000001101111001101
3222222221200
42001233031
5114001110
615220113
74342200
oct2015715
9888850
10531405
11333286
12217639
13157b54
14db937
15a76c0
hex81bcd

531405 has 36 divisors (see below), whose sum is σ = 1075932. Its totient is φ = 241920.

The previous prime is 531383. The next prime is 531457. The reversal of 531405 is 504135.

531405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 298116 + 233289 = 546^2 + 483^2 .

It is not a de Polignac number, because 531405 - 211 = 529357 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2085 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (29887).

2531405 is an apocalyptic number.

It is an amenable number.

531405 is an abundant number, since it is smaller than the sum of its proper divisors (544527).

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

531405 is a wasteful number, since it uses less digits than its factorization.

531405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 531405 is about 728.9753082238. The cubic root of 531405 is about 80.9981709692.

The spelling of 531405 in words is "five hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 241 245 315 441 723 735 1205 1687 2169 2205 3615 5061 8435 10845 11809 15183 25305 35427 59045 75915 106281 177135 531405