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18100818 = 23217149397
BaseRepresentation
bin100010100001…
…1001001010010
31021001121122200
41011003021102
514113211233
61443544030
7306566031
oct105031122
937047580
1018100818
11a24345a
12608b016
133999b58
142592718
1518c8313
hex1143252

18100818 has 48 divisors (see below), whose sum is σ = 41909400. Its totient is φ = 5626368.

The previous prime is 18100783. The next prime is 18100837. The reversal of 18100818 is 81800181.

It can be written as a sum of positive squares in 4 ways, for example, as 15657849 + 2442969 = 3957^2 + 1563^2 .

It is a super-2 number, since 2×181008182 = 655279224538248, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18100791 and 18100800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45396 + ... + 45792.

Almost surely, 218100818 is an apocalyptic number.

18100818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18100818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954700).

18100818 is an abundant number, since it is smaller than the sum of its proper divisors (23808582).

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

18100818 is a wasteful number, since it uses less digits than its factorization.

18100818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 18100818 is about 4254.5056117016. The cubic root of 18100818 is about 262.5625211622.

Adding to 18100818 its reverse (81800181), we get a palindrome (99900999).

The spelling of 18100818 in words is "eighteen million, one hundred thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 298 306 397 447 794 894 1191 1341 2382 2533 2682 3573 5066 6749 7146 7599 13498 15198 20247 22797 40494 45594 59153 60741 118306 121482 177459 354918 532377 1005601 1064754 2011202 3016803 6033606 9050409 18100818