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16272116 = 2272611361
BaseRepresentation
bin111110000100…
…101011110100
31010121201010222
4332010223310
513131201431
61340433512
7255211400
oct76045364
933551128
1016272116
119204533
125548898
1334a9693
142238100
15166657b
hexf84af4

16272116 has 36 divisors (see below), whose sum is σ = 33693156. Its totient is φ = 6854400.

The previous prime is 16272101. The next prime is 16272133. The reversal of 16272116 is 61127261.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 14822500 = 1204^2 + 3850^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11276 + ... + 12636.

It is an arithmetic number, because the mean of its divisors is an integer number (935921).

Almost surely, 216272116 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 16272116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846578).

16272116 is an abundant number, since it is smaller than the sum of its proper divisors (17421040).

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

16272116 is a wasteful number, since it uses less digits than its factorization.

16272116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1431 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 16272116 is about 4033.8710936271. The cubic root of 16272116 is about 253.4047067286.

Adding to 16272116 its reverse (61127261), we get a palindrome (77399377).

The spelling of 16272116 in words is "sixteen million, two hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1361 1708 2722 2989 5444 5978 9527 11956 19054 38108 66689 83021 133378 166042 266756 332084 581147 1162294 2324588 4068029 8136058 16272116