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900180009 = 327321372
BaseRepresentation
bin110101101001111…
…010100000101001
32022201211212211100
4311221322200221
53320421230014
6225153552013
731210255341
oct6551724051
92281755740
10900180009
11422145623
12211575609
1311465a5c1
14877a5d21
1554065009
hex35a7a829

900180009 has 27 divisors (see below), whose sum is σ = 1328008773. Its totient is φ = 587578752.

The previous prime is 900179983. The next prime is 900180059. The reversal of 900180009 is 900081009.

The square root of 900180009 is 30003.

It is a perfect power (a square), and thus also a powerful number.

900180009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21650409 + 878529600 = 4653^2 + 29640^2 .

It is not a de Polignac number, because 900180009 - 25 = 900179977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900180059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6570589 + ... + 6570725.

Almost surely, 2900180009 is an apocalyptic number.

900180009 is the 30003-rd square number.

900180009 is the 15002-nd centered octagonal number.

It is an amenable number.

900180009 is a deficient number, since it is larger than the sum of its proper divisors (427828764).

900180009 is an equidigital number, since it uses as much as digits as its factorization.

900180009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 900180009 is about 965.5537494919.

The spelling of 900180009 in words is "nine hundred million, one hundred eighty thousand, nine".

Divisors: 1 3 9 73 137 219 411 657 1233 5329 10001 15987 18769 30003 47961 56307 90009 168921 730073 1370137 2190219 4110411 6570657 12331233 100020001 300060003 900180009