Search a number
-
+
556000 = 2553139
BaseRepresentation
bin10000111101111100000
31001020200121
42013233200
5120243000
615530024
74503664
oct2075740
91036617
10556000
1134a805
12229914
131660c3
141068a4
15aeb1a
hex87be0

556000 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 220800.

The previous prime is 555967. The next prime is 556007. The reversal of 556000 is 655.

It is a happy number.

556000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3931 + ... + 4069.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2556000 is an apocalyptic number.

556000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

556000 is an abundant number, since it is smaller than the sum of its proper divisors (819920).

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

556000 is a wasteful number, since it uses less digits than its factorization.

556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 556000 is about 745.6540752923. The cubic root of 556000 is about 82.2289851862.

Adding to 556000 its reverse (655), we get a palindrome (556655).

The spelling of 556000 in words is "five hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 139 160 200 250 278 400 500 556 695 800 1000 1112 1390 2000 2224 2780 3475 4000 4448 5560 6950 11120 13900 17375 22240 27800 34750 55600 69500 111200 139000 278000 556000