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1293006 = 2311213137
BaseRepresentation
bin100111011101011001110
32102200200010
410323223032
5312334011
643414050
713663461
oct4735316
92380603
101293006
11803500
12524326
133636c0
142592d8
151a81a6
hex13bace

1293006 has 48 divisors (see below), whose sum is σ = 3083472. Its totient is φ = 359040.

The previous prime is 1293001. The next prime is 1293011. The reversal of 1293006 is 6003921.

It is an interprime number because it is at equal distance from previous prime (1293001) and next prime (1293011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293001) 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 23 ways as a sum of consecutive naturals, for example, 9370 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (64239).

21293006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541736).

1293006 is an abundant number, since it is smaller than the sum of its proper divisors (1790466).

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

1293006 is a wasteful number, since it uses less digits than its factorization.

1293006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1293006 is about 1137.1042168597. The cubic root of 1293006 is about 108.9432131327.

Adding to 1293006 its reverse (6003921), we get a palindrome (7296927).

Subtracting 1293006 from its reverse (6003921), we obtain a triangular number (4710915 = T3069).

The spelling of 1293006 in words is "one million, two hundred ninety-three thousand, six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 137 143 242 274 286 363 411 429 726 822 858 1507 1573 1781 3014 3146 3562 4521 4719 5343 9042 9438 10686 16577 19591 33154 39182 49731 58773 99462 117546 215501 431002 646503 1293006