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180530200 = 23524012251
BaseRepresentation
bin10101100001010…
…10110000011000
3110120200212212201
422300222300120
5332203431300
625525215544
74321324054
oct1260526030
9416625781
10180530200
11929a5014
12505615b4
132b52b306
1419d94c64
1510cb066a
hexac2ac18

180530200 has 48 divisors (see below), whose sum is σ = 420966360. Its totient is φ = 72000000.

The previous prime is 180530131. The next prime is 180530237. The reversal of 180530200 is 2035081.

It is a happy number.

It is a super-2 number, since 2×1805302002 = 65182306224080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 79075 + ... + 81325.

Almost surely, 2180530200 is an apocalyptic number.

180530200 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 180530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210483180).

180530200 is an abundant number, since it is smaller than the sum of its proper divisors (240436160).

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

180530200 is a wasteful number, since it uses less digits than its factorization.

180530200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 180530200 is about 13436.1527231570. The cubic root of 180530200 is about 565.1754486843.

Adding to 180530200 its reverse (2035081), we get a palindrome (182565281).

The spelling of 180530200 in words is "one hundred eighty million, five hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 2251 3208 4010 4502 8020 9004 10025 11255 16040 18008 20050 22510 40100 45020 56275 80200 90040 112550 225100 450200 902651 1805302 3610604 4513255 7221208 9026510 18053020 22566275 36106040 45132550 90265100 180530200