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1306026 = 23237253
BaseRepresentation
bin100111110110110101010
32110100112100
410332312222
5313243101
643554230
714046441
oct4766652
92410470
101306026
11812267
1252b976
133695c7
1425dd58
151abe86
hex13edaa

1306026 has 36 divisors (see below), whose sum is σ = 2963142. Its totient is φ = 415584.

The previous prime is 1306007. The next prime is 1306027. The reversal of 1306026 is 6206031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1265625 + 40401 = 1125^2 + 201^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1306027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24616 + ... + 24668.

21306026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481571).

1306026 is an abundant number, since it is smaller than the sum of its proper divisors (1657116).

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

1306026 is a wasteful number, since it uses less digits than its factorization.

1306026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1306026 is about 1142.8149456496. The cubic root of 1306026 is about 109.3076626062.

The spelling of 1306026 in words is "one million, three hundred six thousand, twenty-six".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1369 1961 2738 3922 4107 5883 8214 11766 12321 17649 24642 35298 72557 145114 217671 435342 653013 1306026