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18130035 = 3571121427
BaseRepresentation
bin100010100101…
…0010001110011
31021010002201210
41011022101303
514120130120
61444331203
7310050150
oct105122163
937102653
1018130035
11a263400
1260a3b03
1339aa241
14259d227
1518d1ce0
hex114a473

18130035 has 48 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 7529280.

The previous prime is 18130033. The next prime is 18130039. The reversal of 18130035 is 53003181.

It is a happy number.

It is not a de Polignac number, because 18130035 - 21 = 18130033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 18129993 and 18130020.

It is not an unprimeable number, because it can be changed into a prime (18130031) 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 47 ways as a sum of consecutive naturals, for example, 11992 + ... + 13418.

It is an arithmetic number, because the mean of its divisors is an integer number (759696).

Almost surely, 218130035 is an apocalyptic number.

18130035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18130035 is an abundant number, since it is smaller than the sum of its proper divisors (18335373).

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

18130035 is a wasteful number, since it uses less digits than its factorization.

18130035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 18130035 is about 4257.9378811815. The cubic root of 18130035 is about 262.7037148807.

The spelling of 18130035 in words is "eighteen million, one hundred thirty thousand, thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1427 1815 2541 4235 4281 7135 9989 12705 15697 21405 29967 47091 49945 78485 109879 149835 172667 235455 329637 518001 549395 863335 1208669 1648185 2590005 3626007 6043345 18130035