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1327064505 = 351329474993
BaseRepresentation
bin100111100011001…
…0110010110111001
310102111002212021020
41033012112112321
510204212031010
6335403333053
744612601504
oct11706262671
93374085236
101327064505
11621103228
12310521189
13181c22a90
14c836813b
157b789470
hex4f1965b9

1327064505 has 64 divisors (see below), whose sum is σ = 2416296960. Its totient is φ = 617250816.

The previous prime is 1327064503. The next prime is 1327064513. The reversal of 1327064505 is 5054607231.

It is not a de Polignac number, because 1327064505 - 21 = 1327064503 is a prime.

It is a super-2 number, since 2×13270645052 = 3522200400861790050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1327064503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263289 + ... + 268281.

It is an arithmetic number, because the mean of its divisors is an integer number (37754640).

Almost surely, 21327064505 is an apocalyptic number.

1327064505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1327064505 is a deficient number, since it is larger than the sum of its proper divisors (1089232455).

1327064505 is a wasteful number, since it uses less digits than its factorization.

1327064505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1327064505 is about 36428.8965657759. The cubic root of 1327064505 is about 1098.9147712941.

The spelling of 1327064505 in words is "one billion, three hundred twenty-seven million, sixty-four thousand, five hundred five".

Divisors: 1 3 5 13 15 29 39 47 65 87 141 145 195 235 377 435 611 705 1131 1363 1833 1885 3055 4089 4993 5655 6815 9165 14979 17719 20445 24965 53157 64909 74895 88595 144797 194727 234671 265785 324545 434391 704013 723985 973635 1173355 1882361 2171955 3050723 3520065 5647083 6805459 9152169 9411805 15253615 20416377 28235415 34027295 45760845 88470967 102081885 265412901 442354835 1327064505