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556105020 = 2235174571193
BaseRepresentation
bin100001001001010…
…111110100111100
31102202102001200020
4201021113310330
52114330330040
6131103132140
716531546302
oct4111276474
91382361606
10556105020
112659a7a29
121362a4050
138b29a233
1453bdc272
1533c4bcd0
hex21257d3c

556105020 has 96 divisors (see below), whose sum is σ = 1653680448. Its totient is φ = 139149312.

The previous prime is 556104959. The next prime is 556105027. The reversal of 556105020 is 20501655.

556105020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556105027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465544 + ... + 466736.

It is an arithmetic number, because the mean of its divisors is an integer number (17225838).

Almost surely, 2556105020 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 556105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826840224).

556105020 is an abundant number, since it is smaller than the sum of its proper divisors (1097575428).

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

556105020 is a wasteful number, since it uses less digits than its factorization.

556105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 556105020 is about 23581.8790599901. The cubic root of 556105020 is about 822.3416213128.

Adding to 556105020 its reverse (20501655), we get a palindrome (576606675).

The spelling of 556105020 in words is "five hundred fifty-six million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 457 510 914 1020 1193 1371 1828 2285 2386 2742 3579 4570 4772 5484 5965 6855 7158 7769 9140 11930 13710 14316 15538 17895 20281 23307 23860 27420 31076 35790 38845 40562 46614 60843 71580 77690 81124 93228 101405 116535 121686 155380 202810 233070 243372 304215 405620 466140 545201 608430 1090402 1216860 1635603 2180804 2726005 3271206 5452010 6542412 8178015 9268417 10904020 16356030 18536834 27805251 32712060 37073668 46342085 55610502 92684170 111221004 139026255 185368340 278052510 556105020