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6460120146 = 234170937039
BaseRepresentation
bin1100000010000110…
…11001110001010010
3121200012212002212010
412001003121301102
5101212242321041
62545010443350
7316042054344
oct60103316122
917605762763
106460120146
112815629977
121303593556
137bc4c9bcc
14453d83294
1527c224a16
hex1810d9c52

6460120146 has 32 divisors (see below), whose sum is σ = 13254393600. Its totient is φ = 2097832320.

The previous prime is 6460120141. The next prime is 6460120201. The reversal of 6460120146 is 6410210646.

It is a super-2 number, since 2×64601201462 = 83466304601510122632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6460120141) 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, 155895 + ... + 192933.

It is an arithmetic number, because the mean of its divisors is an integer number (414199800).

Almost surely, 26460120146 is an apocalyptic number.

6460120146 is an abundant number, since it is smaller than the sum of its proper divisors (6794273454).

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

6460120146 is a wasteful number, since it uses less digits than its factorization.

6460120146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37794.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6460120146 is about 80374.8726033205. The cubic root of 6460120146 is about 1862.4310280961.

The spelling of 6460120146 in words is "six billion, four hundred sixty million, one hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 41 82 123 246 709 1418 2127 4254 29069 37039 58138 74078 87207 111117 174414 222234 1518599 3037198 4555797 9111594 26260651 52521302 78781953 157563906 1076686691 2153373382 3230060073 6460120146