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16820256 = 253175211
BaseRepresentation
bin100000000101…
…0100000100000
31011122120001110
41000022200200
513301222011
61400303320
7262653435
oct100124040
934576043
1016820256
119549342
125771b40
13363c01b
14233bb8c
151723ba6
hex100a820

16820256 has 24 divisors (see below), whose sum is σ = 44153424. Its totient is φ = 5606720.

The previous prime is 16820249. The next prime is 16820273. The reversal of 16820256 is 65202861.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87510 + ... + 87701.

It is an arithmetic number, because the mean of its divisors is an integer number (1839726).

Almost surely, 216820256 is an apocalyptic number.

16820256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16820256 is an abundant number, since it is smaller than the sum of its proper divisors (27333168).

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

16820256 is a wasteful number, since it uses less digits than its factorization.

16820256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175224 (or 175216 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 16820256 is about 4101.2505409936. The cubic root of 16820256 is about 256.2187258283.

The spelling of 16820256 in words is "sixteen million, eight hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 175211 350422 525633 700844 1051266 1401688 2102532 2803376 4205064 5606752 8410128 16820256