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18002660 = 22513174073
BaseRepresentation
bin100010010101…
…1001011100100
31020212122000012
41010223023210
514102041120
61441505352
7306006614
oct104531344
936778005
1018002660
11a186735
126042258
133964280
142568a44
1518a91c5
hex112b2e4

18002660 has 48 divisors (see below), whose sum is σ = 43119216. Its totient is φ = 6254592.

The previous prime is 18002659. The next prime is 18002717. The reversal of 18002660 is 6620081.

It can be written as a sum of positive squares in 8 ways, for example, as 2050624 + 15952036 = 1432^2 + 3994^2 .

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 15 ways as a sum of consecutive naturals, for example, 2384 + ... + 6456.

It is an arithmetic number, because the mean of its divisors is an integer number (898317).

Almost surely, 218002660 is an apocalyptic number.

18002660 is a gapful number since it is divisible by the number (10) 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 18002660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21559608).

18002660 is an abundant number, since it is smaller than the sum of its proper divisors (25116556).

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

18002660 is a wasteful number, since it uses less digits than its factorization.

18002660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 18002660 is about 4242.9541595450. The cubic root of 18002660 is about 262.0870483630.

The spelling of 18002660 in words is "eighteen million, two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4073 4420 8146 16292 20365 40730 52949 69241 81460 105898 138482 211796 264745 276964 346205 529490 692410 900133 1058980 1384820 1800266 3600532 4500665 9001330 18002660