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441506130 = 235131132067
BaseRepresentation
bin11010010100001…
…101100101010010
31010202202211112220
4122110031211102
51401011144010
6111451001510
713640511612
oct3224154522
91122684486
10441506130
112072450aa
12103a39296
1370614840
14428caa42
1528b61970
hex1a50d952

441506130 has 32 divisors (see below), whose sum is σ = 1141124544. Its totient is φ = 108678336.

The previous prime is 441506077. The next prime is 441506159. The reversal of 441506130 is 31605144.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 441506130.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 565644 + ... + 566423.

It is an arithmetic number, because the mean of its divisors is an integer number (35660142).

Almost surely, 2441506130 is an apocalyptic number.

441506130 is an abundant number, since it is smaller than the sum of its proper divisors (699618414).

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

441506130 is a wasteful number, since it uses less digits than its factorization.

441506130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132090.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 441506130 is about 21012.0472586562. The cubic root of 441506130 is about 761.4573433332.

The spelling of 441506130 in words is "four hundred forty-one million, five hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1132067 2264134 3396201 5660335 6792402 11320670 14716871 16981005 29433742 33962010 44150613 73584355 88301226 147168710 220753065 441506130