Search a number
-
+
557060 = 225723173
BaseRepresentation
bin10001000000000000100
31001022010212
42020000010
5120311220
615534552
74510040
oct2100004
91038125
10557060
11350589
1222a458
1316672a
14107020
15b00c5
hex88004

557060 has 48 divisors (see below), whose sum is σ = 1403136. Its totient is φ = 181632.

The previous prime is 557059. The next prime is 557069. The reversal of 557060 is 60755.

557060 = T91 + T92 + ... + T159.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (557069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3134 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (29232).

2557060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568).

557060 is an abundant number, since it is smaller than the sum of its proper divisors (846076).

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

557060 is a wasteful number, since it uses less digits than its factorization.

557060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 557060 is about 746.3645222008. The cubic root of 557060 is about 82.2812078431.

The spelling of 557060 in words is "five hundred fifty-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 173 230 322 346 460 644 692 805 865 1211 1610 1730 2422 3220 3460 3979 4844 6055 7958 12110 15916 19895 24220 27853 39790 55706 79580 111412 139265 278530 557060