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16808704 = 281147127
BaseRepresentation
bin100000000011…
…1101100000000
31011121222012121
41000013230000
513300334304
61400134024
7262604653
oct100075400
934558177
1016808704
1195406a0
125767314
1336369a3
14233789a
151720554
hex1007b00

16808704 has 72 divisors (see below), whose sum is σ = 37675008. Its totient is φ = 7418880.

The previous prime is 16808683. The next prime is 16808713. The reversal of 16808704 is 40780861.

It is a happy number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 16808704.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132289 + ... + 132415.

It is an arithmetic number, because the mean of its divisors is an integer number (523264).

Almost surely, 216808704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837504).

16808704 is an abundant number, since it is smaller than the sum of its proper divisors (20866304).

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

16808704 is a wasteful number, since it uses less digits than its factorization.

16808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 16808704 is about 4099.8419481731. The cubic root of 16808704 is about 256.1600561589.

The spelling of 16808704 in words is "sixteen million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 127 128 176 188 254 256 352 376 508 517 704 752 1016 1034 1397 1408 1504 2032 2068 2794 2816 3008 4064 4136 5588 5969 6016 8128 8272 11176 11938 12032 16256 16544 22352 23876 32512 33088 44704 47752 65659 66176 89408 95504 131318 132352 178816 191008 262636 357632 382016 525272 764032 1050544 1528064 2101088 4202176 8404352 16808704