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506000010 = 235531572027
BaseRepresentation
bin11110001010001…
…111001010001010
31022021010110112010
4132022033022022
52014014000020
6122113200350
715352633455
oct3612171212
91267113463
10506000010
1123a69532a
121215600b6
1380aa60b9
144b2b849c
152e650de0
hex1e28f28a

506000010 has 64 divisors (see below), whose sum is σ = 1245808512. Its totient is φ = 131479296.

The previous prime is 506000009. The next prime is 506000021. The reversal of 506000010 is 10000605.

It is a self number, because there is not a number n which added to its sum of digits gives 506000010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248617 + ... + 250643.

It is an arithmetic number, because the mean of its divisors is an integer number (19465758).

Almost surely, 2506000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622904256).

506000010 is an abundant number, since it is smaller than the sum of its proper divisors (739808502).

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

506000010 is a wasteful number, since it uses less digits than its factorization.

506000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 506000010 is about 22494.4439806811. The cubic root of 506000010 is about 796.8627181190.

Adding to 506000010 its reverse (10000605), we get a palindrome (516000615).

The spelling of 506000010 in words is "five hundred six million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 53 106 157 159 265 314 318 471 530 785 795 942 1570 1590 2027 2355 4054 4710 6081 8321 10135 12162 16642 20270 24963 30405 41605 49926 60810 83210 107431 124815 214862 249630 318239 322293 537155 636478 644586 954717 1074310 1591195 1611465 1909434 3182390 3222930 4773585 9547170 16866667 33733334 50600001 84333335 101200002 168666670 253000005 506000010