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16112 = 241953
BaseRepresentation
bin11111011110000
3211002202
43323300
51003422
6202332
764655
oct37360
924082
1016112
1111118
1293a8
137445
145c2c
154b92
hex3ef0

16112 has 20 divisors (see below), whose sum is σ = 33480. Its totient is φ = 7488.

The previous prime is 16111. The next prime is 16127. The reversal of 16112 is 21161.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 16093 and 16102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

216112 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 16112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740).

16112 is an abundant number, since it is smaller than the sum of its proper divisors (17368).

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

16112 is a wasteful number, since it uses less digits than its factorization.

16112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its digits is 12, while the sum is 11.

The square root of 16112 is about 126.9330532210. The cubic root of 16112 is about 25.2570806532.

Adding to 16112 its reverse (21161), we get a palindrome (37273).

It can be divided in two parts, 16 and 112, that added together give a 7-th power (128 = 27).

The spelling of 16112 in words is "sixteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 16112