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1311285 = 351943107
BaseRepresentation
bin101000000001000110101
32110121202010
411000020311
5313430120
644034433
714100663
oct5001065
92417663
101311285
11816208
12532a19
1336bb11
14261c33
151ad7e0
hex140235

1311285 has 32 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 641088.

The previous prime is 1311263. The next prime is 1311287. The reversal of 1311285 is 5821131.

It is not a de Polignac number, because 1311285 - 28 = 1311029 is a prime.

1311285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311287) 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 31 ways as a sum of consecutive naturals, for example, 12202 + ... + 12308.

It is an arithmetic number, because the mean of its divisors is an integer number (71280).

21311285 is an apocalyptic number.

1311285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311285 is a deficient number, since it is larger than the sum of its proper divisors (969675).

1311285 is a wasteful number, since it uses less digits than its factorization.

1311285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177.

The product of its digits is 240, while the sum is 21.

The square root of 1311285 is about 1145.1135314893. The cubic root of 1311285 is about 109.4541832049.

It can be divided in two parts, 1311 and 285, that added together give a triangular number (1596 = T56).

The spelling of 1311285 in words is "one million, three hundred eleven thousand, two hundred eighty-five".

Divisors: 1 3 5 15 19 43 57 95 107 129 215 285 321 535 645 817 1605 2033 2451 4085 4601 6099 10165 12255 13803 23005 30495 69015 87419 262257 437095 1311285