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556240 = 24517409
BaseRepresentation
bin10000111110011010000
31001021000111
42013303100
5120244430
615531104
74504456
oct2076320
91037014
10556240
1134aa03
12229a94
13166249
141069d6
15aec2a
hex87cd0

556240 has 40 divisors (see below), whose sum is σ = 1372680. Its totient is φ = 208896.

The previous prime is 556229. The next prime is 556243. The reversal of 556240 is 42655.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 318096 = 488^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556243) 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, 1156 + ... + 1564.

It is an arithmetic number, because the mean of its divisors is an integer number (34317).

2556240 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 556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686340).

556240 is an abundant number, since it is smaller than the sum of its proper divisors (816440).

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

556240 is a wasteful number, since it uses less digits than its factorization.

556240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 556240 is about 745.8149904635. The cubic root of 556240 is about 82.2408149929.

Adding to 556240 its reverse (42655), we get a palindrome (598895).

The spelling of 556240 in words is "five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 409 680 818 1360 1636 2045 3272 4090 6544 6953 8180 13906 16360 27812 32720 34765 55624 69530 111248 139060 278120 556240