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18130761 = 3211216649
BaseRepresentation
bin100010100101…
…0011101001001
31021010010201200
41011022131021
514120141021
61444334413
7310052235
oct105123511
937103650
1018130761
11a263a00
1260a4409
1339aa67c
14259d5c5
1518d2126
hex114a749

18130761 has 18 divisors (see below), whose sum is σ = 28787850. Its totient is φ = 10987680.

The previous prime is 18130757. The next prime is 18130787. The reversal of 18130761 is 16703181.

It can be written as a sum of positive squares in only one way, i.e., 17015625 + 1115136 = 4125^2 + 1056^2 .

It is not a de Polignac number, because 18130761 - 22 = 18130757 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18130361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7236 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (1599325).

Almost surely, 218130761 is an apocalyptic number.

18130761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18130761 is a deficient number, since it is larger than the sum of its proper divisors (10657089).

18130761 is a wasteful number, since it uses less digits than its factorization.

18130761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16677 (or 16663 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18130761 is about 4258.0231328634. The cubic root of 18130761 is about 262.7072214073.

The spelling of 18130761 in words is "eighteen million, one hundred thirty thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 16649 49947 149841 183139 549417 1648251 2014529 6043587 18130761