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64131306 = 23107191523
BaseRepresentation
bin1111010010100…
…1000011101010
311110200012121120
43310221003222
5112404200211
610210320110
71406051511
oct364510352
9143605546
1064131306
1133222888
1219589036
1310395525
148735678
15596bd06
hex3d290ea

64131306 has 32 divisors (see below), whose sum is σ = 130387968. Its totient is φ = 21026160.

The previous prime is 64131299. The next prime is 64131307. The reversal of 64131306 is 60313146.

64131306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641313062 = 8225648818531272, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (64131307) 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 15 ways as a sum of consecutive naturals, for example, 122361 + ... + 122883.

It is an arithmetic number, because the mean of its divisors is an integer number (4074624).

Almost surely, 264131306 is an apocalyptic number.

64131306 is an abundant number, since it is smaller than the sum of its proper divisors (66256662).

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

64131306 is a wasteful number, since it uses less digits than its factorization.

64131306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 64131306 is about 8008.2024200191. The cubic root of 64131306 is about 400.2733672999.

The spelling of 64131306 in words is "sixty-four million, one hundred thirty-one thousand, three hundred six".

Divisors: 1 2 3 6 107 191 214 321 382 523 573 642 1046 1146 1569 3138 20437 40874 55961 61311 99893 111922 122622 167883 199786 299679 335766 599358 10688551 21377102 32065653 64131306