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1005328 = 24193307
BaseRepresentation
bin11110101011100010000
31220002001101
43311130100
5224132303
633314144
711354662
oct3653420
91802041
101005328
11627355
12405954
1329278c
141c2532
1514cd1d
hexf5710

1005328 has 20 divisors (see below), whose sum is σ = 2050960. Its totient is φ = 476064.

The previous prime is 1005317. The next prime is 1005331. The reversal of 1005328 is 8235001.

It is a happy number.

1005328 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 (19).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1350 + ... + 1957.

It is an arithmetic number, because the mean of its divisors is an integer number (102548).

21005328 is an apocalyptic number.

It is an amenable number.

1005328 is an abundant number, since it is smaller than the sum of its proper divisors (1045632).

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

1005328 is a wasteful number, since it uses less digits than its factorization.

1005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1005328 is about 1002.6604609737. The cubic root of 1005328 is about 100.1772855127.

The spelling of 1005328 in words is "one million, five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 3307 6614 13228 26456 52912 62833 125666 251332 502664 1005328