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1293248 = 26112167
BaseRepresentation
bin100111011101111000000
32102201000002
410323233000
5312340443
643415132
713664255
oct4735700
92381002
101293248
11803700
125244a8
13363848
1425942c
151a82b8
hex13bbc0

1293248 has 42 divisors (see below), whose sum is σ = 2837688. Its totient is φ = 584320.

The previous prime is 1293247. The next prime is 1293251. The reversal of 1293248 is 8423921.

It is a self number, because there is not a number n which added to its sum of digits gives 1293248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7661 + ... + 7827.

It is an arithmetic number, because the mean of its divisors is an integer number (67564).

21293248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418844).

1293248 is an abundant number, since it is smaller than the sum of its proper divisors (1544440).

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

1293248 is a wasteful number, since it uses less digits than its factorization.

1293248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1293248 is about 1137.2106225322. The cubic root of 1293248 is about 108.9500093407.

The spelling of 1293248 in words is "one million, two hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 167 176 242 334 352 484 668 704 968 1336 1837 1936 2672 3674 3872 5344 7348 7744 10688 14696 20207 29392 40414 58784 80828 117568 161656 323312 646624 1293248