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146306305 = 5298211229
BaseRepresentation
bin10001011100001…
…11010100000001
3101012022010112001
420232013110001
5244423300210
622303504001
73424403665
oct1056072401
9335263461
10146306305
117564a102
1240bb8001
13244078a2
14156068a5
15cca003a
hex8b87501

146306305 has 16 divisors (see below), whose sum is σ = 181990800. Its totient is φ = 112779520.

The previous prime is 146306297. The next prime is 146306309. The reversal of 146306305 is 503603641.

It can be written as a sum of positive squares in 8 ways, for example, as 3671056 + 142635249 = 1916^2 + 11943^2 .

It is not a de Polignac number, because 146306305 - 23 = 146306297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146306309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118431 + ... + 119659.

It is an arithmetic number, because the mean of its divisors is an integer number (11374425).

Almost surely, 2146306305 is an apocalyptic number.

It is an amenable number.

146306305 is a deficient number, since it is larger than the sum of its proper divisors (35684495).

146306305 is a wasteful number, since it uses less digits than its factorization.

146306305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 146306305 is about 12095.7143236768. The cubic root of 146306305 is about 526.9317255678.

Adding to 146306305 its reverse (503603641), we get a palindrome (649909946).

It can be divided in two parts, 146306 and 305, that added together give a triangular number (146611 = T541).

The spelling of 146306305 in words is "one hundred forty-six million, three hundred six thousand, three hundred five".

Divisors: 1 5 29 145 821 1229 4105 6145 23809 35641 119045 178205 1009009 5045045 29261261 146306305