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1313865 = 32574397
BaseRepresentation
bin101000000110001001001
32110202021200
411000301021
5314020430
644054413
714111340
oct5006111
92422250
101313865
11818143
12534409
13370047
14262b57
151ae460
hex140c49

1313865 has 48 divisors (see below), whose sum is σ = 2690688. Its totient is φ = 580608.

The previous prime is 1313863. The next prime is 1313881. The reversal of 1313865 is 5683131.

It is not a de Polignac number, because 1313865 - 21 = 1313863 is a prime.

It is a super-3 number, since 3×13138653 = 6804143833381468875, which contains 333 as substring.

1313865 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1313863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13497 + ... + 13593.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

21313865 is an apocalyptic number.

1313865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313865 is an abundant number, since it is smaller than the sum of its proper divisors (1376823).

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

1313865 is a wasteful number, since it uses less digits than its factorization.

1313865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1313865 is about 1146.2395037687. The cubic root of 1313865 is about 109.5259211793.

Adding to 1313865 its reverse (5683131), we get a palindrome (6996996).

It can be divided in two parts, 13138 and 65, that added together give a triangular number (13203 = T162).

The spelling of 1313865 in words is "one million, three hundred thirteen thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 97 105 129 215 291 301 315 387 485 645 679 873 903 1455 1505 1935 2037 2709 3395 4171 4365 4515 6111 10185 12513 13545 20855 29197 30555 37539 62565 87591 145985 187695 262773 437955 1313865