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18098900 = 225229792
BaseRepresentation
bin100010100001…
…0101011010100
31021001112000122
41011002223110
514113131100
61443531112
7306560321
oct105025324
937045018
1018098900
11a241a76
126089a98
133999011
142591b48
1518c7985
hex1142ad4

18098900 has 54 divisors (see below), whose sum is σ = 41149710. Its totient is φ = 6901440.

The previous prime is 18098891. The next prime is 18098909. The reversal of 18098900 is 989081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18098891) and next prime (18098909).

It can be written as a sum of positive squares in 3 ways, for example, as 1223236 + 16875664 = 1106^2 + 4108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18098909) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229061 + ... + 229139.

Almost surely, 218098900 is an apocalyptic number.

18098900 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 18098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574855).

18098900 is an abundant number, since it is smaller than the sum of its proper divisors (23050810).

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

18098900 is a wasteful number, since it uses less digits than its factorization.

18098900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 18098900 is about 4254.2801976363. The cubic root of 18098900 is about 262.5532469459.

The spelling of 18098900 in words is "eighteen million, ninety-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 79 100 116 145 158 290 316 395 580 725 790 1450 1580 1975 2291 2900 3950 4582 6241 7900 9164 11455 12482 22910 24964 31205 45820 57275 62410 114550 124820 156025 180989 229100 312050 361978 624100 723956 904945 1809890 3619780 4524725 9049450 18098900