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1328256 = 27321153
BaseRepresentation
bin101000100010010000000
32111111000200
411010102000
5320001011
644245200
714201316
oct5042200
92444020
101328256
11827a36
12540800
13376767
142680b6
151b3856
hex144480

1328256 has 48 divisors (see below), whose sum is σ = 3825510. Its totient is φ = 442368.

The previous prime is 1328237. The next prime is 1328269. The reversal of 1328256 is 6528231.

It can be written as a sum of positive squares in only one way, i.e., 968256 + 360000 = 984^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 576 + ... + 1728.

21328256 is an apocalyptic number.

1328256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 1152×1153.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912755).

1328256 is an abundant number, since it is smaller than the sum of its proper divisors (2497254).

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

1328256 is a wasteful number, since it uses less digits than its factorization.

1328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1158 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1328256 is about 1152.4998915401. The cubic root of 1328256 is about 109.9243557067.

The spelling of 1328256 in words is "one million, three hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1153 2306 3459 4612 6918 9224 10377 13836 18448 20754 27672 36896 41508 55344 73792 83016 110688 147584 166032 221376 332064 442752 664128 1328256