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536129 = 11174761
BaseRepresentation
bin10000010111001000001
31000020102122
42002321001
5114124004
615254025
74362026
oct2027101
91006378
10536129
11336890
1221a315
1315a049
14dd54d
15a8cbe
hex82e41

536129 has 16 divisors (see below), whose sum is σ = 642816. Its totient is φ = 441600.

The previous prime is 536111. The next prime is 536141. The reversal of 536129 is 921635.

It is a cyclic number.

It is not a de Polignac number, because 536129 - 212 = 532033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 536098 and 536107.

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 536129.

It is not an unprimeable number, because it can be changed into a prime (536149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8759 + ... + 8819.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2536129 is an apocalyptic number.

It is an amenable number.

536129 is a deficient number, since it is larger than the sum of its proper divisors (106687).

536129 is a wasteful number, since it uses less digits than its factorization.

536129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 1620, while the sum is 26.

The square root of 536129 is about 732.2083036951. The cubic root of 536129 is about 81.2374781492.

The spelling of 536129 in words is "five hundred thirty-six thousand, one hundred twenty-nine".

Divisors: 1 11 17 47 61 187 517 671 799 1037 2867 8789 11407 31537 48739 536129