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18166005 = 3351113941
BaseRepresentation
bin100010101001…
…1000011110101
31021011221002000
41011103003311
514122303010
61445205513
7310260054
oct105230365
937157060
1018166005
11a288430
126100899
1339c0720
1425ac39b
1518dc7c0
hex11530f5

18166005 has 64 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 8121600.

The previous prime is 18166003. The next prime is 18166019. The reversal of 18166005 is 50066181.

It is not a de Polignac number, because 18166005 - 21 = 18166003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 18166005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18166003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18835 + ... + 19775.

It is an arithmetic number, because the mean of its divisors is an integer number (593460).

Almost surely, 218166005 is an apocalyptic number.

18166005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18166005 is an abundant number, since it is smaller than the sum of its proper divisors (19815435).

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

18166005 is a wasteful number, since it uses less digits than its factorization.

18166005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 18166005 is about 4262.1596638324. The cubic root of 18166005 is about 262.8773348850.

The spelling of 18166005 in words is "eighteen million, one hundred sixty-six thousand, five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 941 1287 1485 1755 2145 2823 3861 4705 6435 8469 10351 12233 14115 19305 25407 31053 36699 42345 51755 61165 93159 110097 127035 134563 155265 183495 279477 330291 403689 465795 550485 672815 1211067 1397385 1651455 2018445 3633201 6055335 18166005