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1311390 = 23451619
BaseRepresentation
bin101000000001010011110
32110121220000
411000022132
5313431030
644035130
714101203
oct5001236
92417800
101311390
118162a3
12532aa6
1336bb92
14261caa
151ad860
hex14029e

1311390 has 40 divisors (see below), whose sum is σ = 3528360. Its totient is φ = 349488.

The previous prime is 1311383. The next prime is 1311403. The reversal of 1311390 is 931131.

1311390 is a nontrivial binomial coefficient, being equal to C(1620, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (88209).

21311390 is an apocalyptic number.

1311390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311390 is the 1619-th triangular number and also the 810-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764180).

1311390 is an abundant number, since it is smaller than the sum of its proper divisors (2216970).

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

1311390 is a wasteful number, since it uses less digits than its factorization.

1311390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 1311390 is about 1145.1593775541. The cubic root of 1311390 is about 109.4571046096.

It can be divided in two parts, 13113 and 90, that added together give a triangular number (13203 = T162).

The spelling of 1311390 in words is "one million, three hundred eleven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1619 3238 4857 8095 9714 14571 16190 24285 29142 43713 48570 72855 87426 131139 145710 218565 262278 437130 655695 1311390