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16684096 = 2611131823
BaseRepresentation
bin111111101001…
…010001000000
31011101122021111
4333221101000
513232342341
61353333104
7261545452
oct77512100
934348244
1016684096
119466010
125707194
1335c2060
1423042d2
1516e8681
hexfe9440

16684096 has 56 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 6996480.

The previous prime is 16684093. The next prime is 16684099. The reversal of 16684096 is 69048661.

It is an interprime number because it is at equal distance from previous prime (16684093) and next prime (16684099).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16684091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8241 + ... + 10063.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 216684096 is an apocalyptic number.

16684096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

16684096 is an abundant number, since it is smaller than the sum of its proper divisors (22232768).

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

16684096 is a wasteful number, since it uses less digits than its factorization.

16684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 16684096 is about 4084.6169955089. The cubic root of 16684096 is about 255.5254881940.

The spelling of 16684096 in words is "sixteen million, six hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1823 2288 3646 4576 7292 9152 14584 20053 23699 29168 40106 47398 58336 80212 94796 116672 160424 189592 260689 320848 379184 521378 641696 758368 1042756 1283392 1516736 2085512 4171024 8342048 16684096