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506115060 = 2235117571013
BaseRepresentation
bin11110001010101…
…011001111110100
31022021100022100020
4132022223033310
52014031140220
6122115445140
715353623053
oct3612531764
91267308306
10506115060
1123a763810
121215b67b0
1380b16589
144b30839a
152e675040
hex1e2ab3f4

506115060 has 96 divisors (see below), whose sum is σ = 1549521792. Its totient is φ = 122411520.

The previous prime is 506115019. The next prime is 506115061. The reversal of 506115060 is 60511605.

It is a self number, because there is not a number n which added to its sum of digits gives 506115060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506115061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499114 + ... + 500126.

It is an arithmetic number, because the mean of its divisors is an integer number (16140852).

Almost surely, 2506115060 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 506115060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774760896).

506115060 is an abundant number, since it is smaller than the sum of its proper divisors (1043406732).

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

506115060 is a wasteful number, since it uses less digits than its factorization.

506115060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 506115060 is about 22497.0011334844. The cubic root of 506115060 is about 796.9231081760.

Adding to 506115060 its reverse (60511605), we get a palindrome (566626665).

The spelling of 506115060 in words is "five hundred six million, one hundred fifteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 757 1013 1514 2026 2271 3028 3039 3785 4052 4542 5065 6078 7570 8327 9084 10130 11143 11355 12156 15140 15195 16654 20260 22286 22710 24981 30390 33308 33429 41635 44572 45420 49962 55715 60780 66858 83270 99924 111430 124905 133716 166540 167145 222860 249810 334290 499620 668580 766841 1533682 2300523 3067364 3834205 4601046 7668410 8435251 9202092 11502615 15336820 16870502 23005230 25305753 33741004 42176255 46010460 50611506 84352510 101223012 126528765 168705020 253057530 506115060