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16990336 = 271121097
BaseRepresentation
bin100000011010…
…0000010000000
31011222012100201
41000310002000
513322142321
61404054544
7264262336
oct100640200
934865321
1016990336
119655100
125834454
13369b56c
142383b56
151759291
hex1034080

16990336 has 48 divisors (see below), whose sum is σ = 37238670. Its totient is φ = 7715840.

The previous prime is 16990333. The next prime is 16990343. The reversal of 16990336 is 63309961.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 1308736 = 3960^2 + 1144^2 .

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 16990295 and 16990304.

It is not an unprimeable number, because it can be changed into a prime (16990333) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 14940 + ... + 16036.

Almost surely, 216990336 is an apocalyptic number.

16990336 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 16990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619335).

16990336 is an abundant number, since it is smaller than the sum of its proper divisors (20248334).

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

16990336 is a wasteful number, since it uses less digits than its factorization.

16990336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

The square root of 16990336 is about 4121.9335268779. The cubic root of 16990336 is about 257.0794265650.

The spelling of 16990336 in words is "sixteen million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1097 1408 1936 2194 3872 4388 7744 8776 12067 15488 17552 24134 35104 48268 70208 96536 132737 140416 193072 265474 386144 530948 772288 1061896 1544576 2123792 4247584 8495168 16990336