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990045 = 32572449
BaseRepresentation
bin11110001101101011101
31212022002100
43301231131
5223140140
633115313
711262300
oct3615535
91768070
10990045
11616921
123b8b39
13288834
141bab37
15148530
hexf1b5d

990045 has 36 divisors (see below), whose sum is σ = 2000700. Its totient is φ = 451584.

The previous prime is 990043. The next prime is 990053. The reversal of 990045 is 540099.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 509796 = 693^2 + 714^2 .

It is not a de Polignac number, because 990045 - 21 = 990043 is a prime.

990045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990043) 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 35 ways as a sum of consecutive naturals, for example, 1981 + ... + 2429.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2990045 is an apocalyptic number.

It is an amenable number.

990045 is an abundant number, since it is smaller than the sum of its proper divisors (1010655).

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

990045 is a wasteful number, since it uses less digits than its factorization.

990045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 990045 is about 995.0100502005. The cubic root of 990045 is about 99.6670594025.

The spelling of 990045 in words is "nine hundred ninety thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 449 735 1347 2205 2245 3143 4041 6735 9429 15715 20205 22001 28287 47145 66003 110005 141435 198009 330015 990045