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557130 = 23572379
BaseRepresentation
bin10001000000001001010
31001022020110
42020001022
5120312010
615535150
74510200
oct2100112
91038213
10557130
11350642
1222a4b6
13166782
14107070
15b0120
hex8804a

557130 has 48 divisors (see below), whose sum is σ = 1559520. Its totient is φ = 127008.

The previous prime is 557093. The next prime is 557153. The reversal of 557130 is 31755.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 557097 and 557106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (32490).

2557130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779760).

557130 is an abundant number, since it is smaller than the sum of its proper divisors (1002390).

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

557130 is a wasteful number, since it uses less digits than its factorization.

557130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 557130 is about 746.4114147037. The cubic root of 557130 is about 82.2846541764.

Adding to 557130 its reverse (31755), we get a palindrome (588885).

The spelling of 557130 in words is "five hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 379 490 735 758 1137 1470 1895 2274 2653 3790 5306 5685 7959 11370 13265 15918 18571 26530 37142 39795 55713 79590 92855 111426 185710 278565 557130