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990816 = 25310321
BaseRepresentation
bin11110001111001100000
31212100010220
43301321200
5223201231
633123040
711264451
oct3617140
91770126
10990816
11617462
123b9480
13288ca8
141bb128
15148896
hexf1e60

990816 has 24 divisors (see below), whose sum is σ = 2601144. Its totient is φ = 330240.

The previous prime is 990809. The next prime is 990841. The reversal of 990816 is 618099.

It is a happy number.

990816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

990816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5065 + ... + 5256.

It is an arithmetic number, because the mean of its divisors is an integer number (108381).

2990816 is an apocalyptic number.

990816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

990816 is an abundant number, since it is smaller than the sum of its proper divisors (1610328).

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

990816 is a wasteful number, since it uses less digits than its factorization.

990816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 990816 is about 995.3974080738. The cubic root of 990816 is about 99.6929246793.

The spelling of 990816 in words is "nine hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10321 20642 30963 41284 61926 82568 123852 165136 247704 330272 495408 990816