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450012 = 22337501
BaseRepresentation
bin1101101110111011100
3211212022010
41231313130
5103400022
613351220
73552663
oct1556734
9755263
10450012
11288112
12198510
13129aa4
14b9dda
158d50c
hex6dddc

450012 has 12 divisors (see below), whose sum is σ = 1050056. Its totient is φ = 150000.

The previous prime is 450011. The next prime is 450019. The reversal of 450012 is 210054.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 37501 = 450012 / (4 + 5 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 450012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450011) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18739 + ... + 18762.

2450012 is an apocalyptic number.

It is an amenable number.

450012 is an abundant number, since it is smaller than the sum of its proper divisors (600044).

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

450012 is a wasteful number, since it uses less digits than its factorization.

450012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37508 (or 37506 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 450012 is about 670.8293374622. The cubic root of 450012 is about 76.6316243972.

Adding to 450012 its reverse (210054), we get a palindrome (660066).

The spelling of 450012 in words is "four hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 12 37501 75002 112503 150004 225006 450012