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900265009 = 72911513853
BaseRepresentation
bin110101101010001…
…111010000110001
32022202000012102111
4311222033100301
53320431440014
6225155445321
731211061220
oct6552172061
92282005374
10900265009
114221a3476
122115b6841
1311468a1b7
14877c8cb7
15540802c4
hex35a8f431

900265009 has 16 divisors (see below), whose sum is σ = 1065553920. Its totient is φ = 744206400.

The previous prime is 900265007. The next prime is 900265013. The reversal of 900265009 is 900562009.

900265009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900265009 - 21 = 900265007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900265001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231727 + ... + 235579.

It is an arithmetic number, because the mean of its divisors is an integer number (66597120).

Almost surely, 2900265009 is an apocalyptic number.

It is an amenable number.

900265009 is a deficient number, since it is larger than the sum of its proper divisors (165288911).

900265009 is a wasteful number, since it uses less digits than its factorization.

900265009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 900265009 is about 30004.4164915767. The cubic root of 900265009 is about 965.5841395194.

The spelling of 900265009 in words is "nine hundred million, two hundred sixty-five thousand, nine".

Divisors: 1 7 29 203 1151 3853 8057 26971 33379 111737 233653 782159 4434803 31043621 128609287 900265009