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9906816 = 27325799
BaseRepresentation
bin100101110010…
…101010000000
3200122022121010
4211302222000
510014004231
6552200520
7150130563
oct45625200
920568533
109906816
115657157
123399140
13208b32a
14145c4da
15d0a546
hex972a80

9906816 has 32 divisors (see below), whose sum is σ = 26316000. Its totient is φ = 3302144.

The previous prime is 9906791. The next prime is 9906833. The reversal of 9906816 is 6186099.

It is a tau number, because it is divible by the number of its divisors (32).

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, 12516 + ... + 13283.

It is an arithmetic number, because the mean of its divisors is an integer number (822375).

Almost surely, 29906816 is an apocalyptic number.

9906816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9906816 is an abundant number, since it is smaller than the sum of its proper divisors (16409184).

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

9906816 is a wasteful number, since it uses less digits than its factorization.

9906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25816 (or 25804 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9906816 is about 3147.5094916457. The cubic root of 9906816 is about 214.7721834222.

The spelling of 9906816 in words is "nine million, nine hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 25799 51598 77397 103196 154794 206392 309588 412784 619176 825568 1238352 1651136 2476704 3302272 4953408 9906816