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1530126 = 232132503
BaseRepresentation
bin101110101100100001110
32212201221100
411311210032
5342431001
652443530
716002003
oct5654416
92781840
101530126
11955674
126195a6
13417600
142bb8aa
15203586
hex17590e

1530126 has 36 divisors (see below), whose sum is σ = 3597048. Its totient is φ = 469872.

The previous prime is 1530107. The next prime is 1530131. The reversal of 1530126 is 6210351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1530099 and 1530108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2791 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (99918).

21530126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798524).

1530126 is an abundant number, since it is smaller than the sum of its proper divisors (2066922).

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

1530126 is a wasteful number, since it uses less digits than its factorization.

1530126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1530126 is about 1236.9826191180. The cubic root of 1530126 is about 115.2326983280.

Adding to 1530126 its reverse (6210351), we get a palindrome (7740477).

The spelling of 1530126 in words is "one million, five hundred thirty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 503 507 1006 1014 1509 1521 3018 3042 4527 6539 9054 13078 19617 39234 58851 85007 117702 170014 255021 510042 765063 1530126