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18305190 = 2310531
BaseRepresentation
bin100010111010…
…1000010100110
31021110000000000
41011311002212
514141231230
61452202130
7311406621
oct105650246
937400000
1018305190
11a372a62
126169346
133a3bb97
142606db8
151918b60
hex11750a6

18305190 has 88 divisors (see below), whose sum is σ = 51018048. Its totient is φ = 4723920.

The previous prime is 18305153. The next prime is 18305191. The reversal of 18305190 is 9150381.

It is a super-2 number, since 2×183051902 = 670159961872200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18305191) 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 43 ways as a sum of consecutive naturals, for example, 590475 + ... + 590505.

Almost surely, 218305190 is an apocalyptic number.

18305190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18305190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509024).

18305190 is an abundant number, since it is smaller than the sum of its proper divisors (32712858).

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

18305190 is an frugal number, since it uses more digits than its factorization.

18305190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 18305190 is about 4278.4564973831. The cubic root of 18305190 is about 263.5470020705.

The spelling of 18305190 in words is "eighteen million, three hundred five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 729 810 837 930 1215 1395 1458 1674 2187 2430 2511 2790 3645 4185 4374 5022 6561 7290 7533 8370 10935 12555 13122 15066 19683 21870 22599 25110 32805 37665 39366 45198 59049 65610 67797 75330 98415 112995 118098 135594 196830 203391 225990 295245 338985 406782 590490 610173 677970 1016955 1220346 1830519 2033910 3050865 3661038 6101730 9152595 18305190