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1328016 = 24373379
BaseRepresentation
bin101000100001110010000
32111110200210
411010032100
5314444031
644244120
714200524
oct5041620
92443623
101328016
11827838
12540640
13376611
14267d84
151b3746
hex144390

1328016 has 40 divisors (see below), whose sum is σ = 3486880. Its totient is φ = 435456.

The previous prime is 1328003. The next prime is 1328017. The reversal of 1328016 is 6108231.

It is a junction number, because it is equal to n+sod(n) for n = 1327983 and 1328001.

It is not an unprimeable number, because it can be changed into a prime (1328017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3315 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (87172).

21328016 is an apocalyptic number.

1328016 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 1328016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743440).

1328016 is an abundant number, since it is smaller than the sum of its proper divisors (2158864).

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

1328016 is a wasteful number, since it uses less digits than its factorization.

1328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1328016 is about 1152.3957653515. The cubic root of 1328016 is about 109.9177346350.

The spelling of 1328016 in words is "one million, three hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 379 438 584 758 876 1137 1168 1516 1752 2274 3032 3504 4548 6064 9096 18192 27667 55334 83001 110668 166002 221336 332004 442672 664008 1328016