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1311345 = 325723181
BaseRepresentation
bin101000000001001110001
32110121211100
411000021301
5313430340
644035013
714101110
oct5001161
92417740
101311345
11816262
12532a69
1336bb59
14261c77
151ad830
hex140271

1311345 has 48 divisors (see below), whose sum is σ = 2725632. Its totient is φ = 570240.

The previous prime is 1311341. The next prime is 1311353. The reversal of 1311345 is 5431131.

It is not a de Polignac number, because 1311345 - 22 = 1311341 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311341) 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, 7155 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

21311345 is an apocalyptic number.

1311345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311345 is an abundant number, since it is smaller than the sum of its proper divisors (1414287).

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

1311345 is a wasteful number, since it uses less digits than its factorization.

1311345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 1311345 is about 1145.1397294654. The cubic root of 1311345 is about 109.4558525981.

Adding to 1311345 its reverse (5431131), we get a palindrome (6742476).

The spelling of 1311345 in words is "one million, three hundred eleven thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 181 207 315 345 483 543 805 905 1035 1267 1449 1629 2415 2715 3801 4163 6335 7245 8145 11403 12489 19005 20815 29141 37467 57015 62445 87423 145705 187335 262269 437115 1311345