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16864016 = 241381077
BaseRepresentation
bin100000001010…
…1001100010000
31011201210002012
41000111030100
513304122031
61401242052
7263225141
oct100251420
934653065
1016864016
119579204
125793328
133655c10
14234dac8
151731b2b
hex1015310

16864016 has 20 divisors (see below), whose sum is σ = 35187852. Its totient is φ = 7783296.

The previous prime is 16864013. The next prime is 16864033. The reversal of 16864016 is 61046861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9024016 + 7840000 = 3004^2 + 2800^2 .

It is not an unprimeable number, because it can be changed into a prime (16864013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40331 + ... + 40746.

Almost surely, 216864016 is an apocalyptic number.

16864016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16864016 is an abundant number, since it is smaller than the sum of its proper divisors (18323836).

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

16864016 is a wasteful number, since it uses less digits than its factorization.

16864016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81098 (or 81092 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 16864016 is about 4106.5820337599. The cubic root of 16864016 is about 256.4407284387.

The spelling of 16864016 in words is "sixteen million, eight hundred sixty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 81077 162154 324308 648616 1054001 1297232 2108002 4216004 8432008 16864016