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18058068 = 22327229353
BaseRepresentation
bin100010011100…
…0101101010100
31020222110000100
41010320231110
514110324233
61443014100
7306330300
oct104705524
936873010
1018058068
11a214326
12606a330
133983562
142580d00
1518ba813
hex1138b54

18058068 has 108 divisors (see below), whose sum is σ = 55085940. Its totient is φ = 4967424.

The previous prime is 18058021. The next prime is 18058091. The reversal of 18058068 is 86085081.

18058068 is a `hidden beast` number, since 18 + 0 + 580 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8398404 + 9659664 = 2898^2 + 3108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 50980 + ... + 51332.

It is an arithmetic number, because the mean of its divisors is an integer number (510055).

Almost surely, 218058068 is an apocalyptic number.

18058068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18058068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27542970).

18058068 is an abundant number, since it is smaller than the sum of its proper divisors (37027872).

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

18058068 is a wasteful number, since it uses less digits than its factorization.

18058068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 18058068 is about 4249.4785562466. The cubic root of 18058068 is about 262.3556539735.

The spelling of 18058068 in words is "eighteen million, fifty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 353 406 441 522 588 609 706 812 882 1044 1059 1218 1412 1421 1764 1827 2118 2436 2471 2842 3177 3654 4236 4263 4942 5684 6354 7308 7413 8526 9884 10237 12708 12789 14826 17052 17297 20474 22239 25578 29652 30711 34594 40948 44478 51156 51891 61422 69188 71659 88956 92133 103782 122844 143318 155673 184266 207564 214977 286636 311346 368532 429954 501613 622692 644931 859908 1003226 1289862 1504839 2006452 2579724 3009678 4514517 6019356 9029034 18058068