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506560230 = 2365116317
BaseRepresentation
bin11110001100010…
…111111011100110
31022022011221000000
4132030113323212
52014134411410
6122133202130
715360455661
oct3614277346
91268157000
10506560230
1123aa38220
12121790346
1380c410a7
144b3c26d8
152e711dc0
hex1e317ee6

506560230 has 112 divisors (see below), whose sum is σ = 1491603984. Its totient is φ = 122783040.

The previous prime is 506560189. The next prime is 506560291. The reversal of 506560230 is 32065605.

506560230 is a `hidden beast` number, since 5 + 0 + 656 + 0 + 2 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 506560194 and 506560203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 77032 + ... + 83348.

Almost surely, 2506560230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506560230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745801992).

506560230 is an abundant number, since it is smaller than the sum of its proper divisors (985043754).

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

506560230 is a wasteful number, since it uses less digits than its factorization.

506560230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 506560230 is about 22506.8929441627. The cubic root of 506560230 is about 797.1566929366.

The spelling of 506560230 in words is "five hundred six million, five hundred sixty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2430 2673 2970 3645 4455 5346 6317 7290 8019 8910 12634 13365 16038 18951 26730 31585 37902 40095 56853 63170 69487 80190 94755 113706 138974 170559 189510 208461 284265 341118 347435 416922 511677 568530 625383 694870 852795 1023354 1042305 1250766 1535031 1705590 1876149 2084610 2558385 3070062 3126915 3752298 4605093 5116770 5628447 6253830 7675155 9210186 9380745 11256894 15350310 16885341 18761490 23025465 28142235 33770682 46050930 50656023 56284470 84426705 101312046 168853410 253280115 506560230