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900468 = 223225013
BaseRepresentation
bin11011011110101110100
31200202012200
43123311310
5212303333
631144500
710440162
oct3336564
91622180
10900468
11565598
12375130
13256b2a
14196232
1512bc13
hexdbd74

900468 has 18 divisors (see below), whose sum is σ = 2276274. Its totient is φ = 300144.

The previous prime is 900461. The next prime is 900481. The reversal of 900468 is 864009.

It can be written as a sum of positive squares in only one way, i.e., 898704 + 1764 = 948^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900461) by changing a digit.

900468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12471 + ... + 12542.

2900468 is an apocalyptic number.

It is an amenable number.

900468 is an abundant number, since it is smaller than the sum of its proper divisors (1375806).

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

900468 is a wasteful number, since it uses less digits than its factorization.

900468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25023 (or 25018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 900468 is about 948.9299236508. The cubic root of 900468 is about 96.5656707100.

The spelling of 900468 in words is "nine hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 25013 50026 75039 100052 150078 225117 300156 450234 900468