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1328896 = 2829179
BaseRepresentation
bin101000100011100000000
32111111220101
411010130000
5320011041
644252144
714203222
oct5043400
92444811
101328896
11828468
12541054
13376b3a
14268412
151b3b31
hex144700

1328896 has 36 divisors (see below), whose sum is σ = 2759400. Its totient is φ = 637952.

The previous prime is 1328893. The next prime is 1328897. The reversal of 1328896 is 6988231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328891) 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, 7335 + ... + 7513.

It is an arithmetic number, because the mean of its divisors is an integer number (76650).

21328896 is an apocalyptic number.

1328896 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 1328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379700).

1328896 is an abundant number, since it is smaller than the sum of its proper divisors (1430504).

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

1328896 is an equidigital number, since it uses as much as digits as its factorization.

1328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 1328896 is about 1152.7775153949. Note that the first 3 decimals coincide. The cubic root of 1328896 is about 109.9420079995.

The spelling of 1328896 in words is "one million, three hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 179 232 256 358 464 716 928 1432 1856 2864 3712 5191 5728 7424 10382 11456 20764 22912 41528 45824 83056 166112 332224 664448 1328896