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556290990 = 23456611039
BaseRepresentation
bin100001001010000…
…101001110101110
31102202202111210000
4201022011032232
52114402302430
6131111125130
716533252423
oct4112051656
91382674700
10556290990
11266014722
121363737a6
138b333a88
1453c49d4a
1533c86e60
hex212853ae

556290990 has 80 divisors (see below), whose sum is σ = 1499509440. Its totient is φ = 147977280.

The previous prime is 556290971. The next prime is 556291003. The reversal of 556290990 is 99092655.

556290990 is a `hidden beast` number, since 556 + 2 + 9 + 0 + 9 + 90 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534891 + ... + 535929.

It is an arithmetic number, because the mean of its divisors is an integer number (18743868).

Almost surely, 2556290990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556290990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749754720).

556290990 is an abundant number, since it is smaller than the sum of its proper divisors (943218450).

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

556290990 is a wasteful number, since it uses less digits than its factorization.

556290990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 556290990 is about 23585.8218003953. The cubic root of 556290990 is about 822.4332789563.

The spelling of 556290990 in words is "five hundred fifty-six million, two hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 661 810 1039 1322 1983 2078 3117 3305 3966 5195 5949 6234 6610 9351 9915 10390 11898 15585 17847 18702 19830 28053 29745 31170 35694 46755 53541 56106 59490 84159 89235 93510 107082 140265 168318 178470 267705 280530 420795 535410 686779 841590 1373558 2060337 3433895 4120674 6181011 6867790 10301685 12362022 18543033 20603370 30905055 37086066 55629099 61810110 92715165 111258198 185430330 278145495 556290990