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1028704 = 25173161
BaseRepresentation
bin11111011001001100000
31221021010011
43323021200
5230404304
634014304
711513065
oct3731140
91837104
101028704
11642976
12417394
132a0301
141cac6c
15154c04
hexfb260

1028704 has 48 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 460800.

The previous prime is 1028683. The next prime is 1028737. The reversal of 1028704 is 4078201.

1028704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16834 + ... + 16894.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

21028704 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 1028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

1028704 is an abundant number, since it is smaller than the sum of its proper divisors (1221152).

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

1028704 is a wasteful number, since it uses less digits than its factorization.

1028704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1028704 is about 1014.2504621641. The cubic root of 1028704 is about 100.9477885879.

The spelling of 1028704 in words is "one million, twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 31 32 34 61 62 68 122 124 136 244 248 272 488 496 527 544 976 992 1037 1054 1891 1952 2074 2108 3782 4148 4216 7564 8296 8432 15128 16592 16864 30256 32147 33184 60512 64294 128588 257176 514352 1028704