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18324100 = 22522331257
BaseRepresentation
bin100010111100…
…1101010000100
31021110221221101
41011321222010
514142332400
61452425444
7311516014
oct105715204
937427841
1018324100
11a386193
126178284
133a47682
14260dc44
15191e56a
hex1179a84

18324100 has 72 divisors (see below), whose sum is σ = 42997248. Its totient is φ = 6758400.

The previous prime is 18324083. The next prime is 18324101. The reversal of 18324100 is 142381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18324101) 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 23 ways as a sum of consecutive naturals, for example, 71172 + ... + 71428.

It is an arithmetic number, because the mean of its divisors is an integer number (597184).

Almost surely, 218324100 is an apocalyptic number.

18324100 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 18324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498624).

18324100 is an abundant number, since it is smaller than the sum of its proper divisors (24673148).

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

18324100 is a wasteful number, since it uses less digits than its factorization.

18324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 18324100 is about 4280.6658360587. The cubic root of 18324100 is about 263.6377224014.

Adding to 18324100 its reverse (142381), we get a palindrome (18466481).

The spelling of 18324100 in words is "eighteen million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 257 310 460 514 575 620 713 775 1028 1150 1285 1426 1550 2300 2570 2852 3100 3565 5140 5911 6425 7130 7967 11822 12850 14260 15934 17825 23644 25700 29555 31868 35650 39835 59110 71300 79670 118220 147775 159340 183241 199175 295550 366482 398350 591100 732964 796700 916205 1832410 3664820 4581025 9162050 18324100