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1324096 = 26171217
BaseRepresentation
bin101000011010001000000
32111021022121
411003101000
5314332341
644214024
714153224
oct5032100
92437277
101324096
118248a4
1253a314
133748b7
14266784
151b24d1
hex143440

1324096 has 28 divisors (see below), whose sum is σ = 2784348. Its totient is φ = 622592.

The previous prime is 1324093. The next prime is 1324097. The reversal of 1324096 is 6904231.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 577600 = 864^2 + 760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1324096.

It is not an unprimeable number, because it can be changed into a prime (1324093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 480 + ... + 1696.

It is an arithmetic number, because the mean of its divisors is an integer number (99441).

21324096 is an apocalyptic number.

1324096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392174).

1324096 is an abundant number, since it is smaller than the sum of its proper divisors (1460252).

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

1324096 is a wasteful number, since it uses less digits than its factorization.

1324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 1324096 is about 1150.6937038152. The cubic root of 1324096 is about 109.8094773633.

The spelling of 1324096 in words is "one million, three hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1217 2434 4868 9736 19472 20689 38944 41378 77888 82756 165512 331024 662048 1324096