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1020528 = 243219373
BaseRepresentation
bin11111001001001110000
31220211220100
43321021300
5230124103
633512400
711450205
oct3711160
91824810
101020528
11637813
12412700
13299682
141c7cac
151525a3
hexf9270

1020528 has 60 divisors (see below), whose sum is σ = 3014440. Its totient is φ = 321408.

The previous prime is 1020517. The next prime is 1020529. The reversal of 1020528 is 8250201.

1020528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1020528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2550 + ... + 2922.

21020528 is an apocalyptic number.

1020528 is a gapful number since it is divisible by the number (18) 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 1020528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507220).

1020528 is an abundant number, since it is smaller than the sum of its proper divisors (1993912).

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

1020528 is a wasteful number, since it uses less digits than its factorization.

1020528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1020528 is about 1010.2118589682. The cubic root of 1020528 is about 100.6796371360.

Adding to 1020528 its reverse (8250201), we get a palindrome (9270729).

The spelling of 1020528 in words is "one million, twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 373 456 684 746 912 1119 1368 1492 2238 2736 2984 3357 4476 5968 6714 7087 8952 13428 14174 17904 21261 26856 28348 42522 53712 56696 63783 85044 113392 127566 170088 255132 340176 510264 1020528