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12416 = 2797
BaseRepresentation
bin11000010000000
3122000212
43002000
5344131
6133252
751125
oct30200
918025
1012416
119368
127228
135861
14474c
153a2b
hex3080

12416 has 16 divisors (see below), whose sum is σ = 24990. Its totient is φ = 6144.

The previous prime is 12413. The next prime is 12421. The reversal of 12416 is 61421.

Adding to 12416 its reverse (61421), we get a palindrome (73837).

It can be written as a sum of positive squares in only one way, i.e., 10816 + 1600 = 104^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 12416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 80 + ... + 176.

212416 is an apocalyptic number.

12416 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 12416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12495).

12416 is an abundant number, since it is smaller than the sum of its proper divisors (12574).

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

12416 is an frugal number, since it uses more digits than its factorization.

12416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 12416 is about 111.4271062175. The cubic root of 12416 is about 23.1558414882.

The spelling of 12416 in words is "twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12416