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1006688 = 25163193
BaseRepresentation
bin11110101110001100000
31220010220202
43311301200
5224203223
633324332
711361644
oct3656140
91803822
101006688
11628381
124066a8
13293297
141c2c24
1514d428
hexf5c60

1006688 has 24 divisors (see below), whose sum is σ = 2004408. Its totient is φ = 497664.

The previous prime is 1006651. The next prime is 1006711. The reversal of 1006688 is 8866001.

1006688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1006688.

It is a congruent number.

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, 5120 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (83517).

21006688 is an apocalyptic number.

It is an amenable number.

1006688 is a deficient number, since it is larger than the sum of its proper divisors (997720).

1006688 is a wasteful number, since it uses less digits than its factorization.

1006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1006688 is about 1003.3384274511. The cubic root of 1006688 is about 100.2224381790. Note that the first 3 decimals are identical.

The spelling of 1006688 in words is "one million, six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 163 193 326 386 652 772 1304 1544 2608 3088 5216 6176 31459 62918 125836 251672 503344 1006688