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1020928 = 210997
BaseRepresentation
bin11111001010000000000
31220212110011
43321100000
5230132203
633514304
711451316
oct3712000
91825404
101020928
11638047
12412994
132998cc
141c80b6
1515276d
hexf9400

1020928 has 22 divisors (see below), whose sum is σ = 2042906. Its totient is φ = 509952.

The previous prime is 1020913. The next prime is 1020931. The reversal of 1020928 is 8290201.

It can be written as a sum of positive squares in only one way, i.e., 984064 + 36864 = 992^2 + 192^2 .

It is a nialpdrome in base 4 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1020899 and 1020908.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 526 + ... + 1522.

21020928 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 1020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021453).

1020928 is an abundant number, since it is smaller than the sum of its proper divisors (1021978).

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

1020928 is an frugal number, since it uses more digits than its factorization.

1020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1020928 is about 1010.4098178462. The cubic root of 1020928 is about 100.6927893456.

The spelling of 1020928 in words is "one million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 997 1024 1994 3988 7976 15952 31904 63808 127616 255232 510464 1020928