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16272 = 2432113
BaseRepresentation
bin11111110010000
3211022200
43332100
51010042
6203200
765304
oct37620
924280
1016272
1111253
129500
137539
145d04
154c4c
hex3f90

16272 has 30 divisors (see below), whose sum is σ = 45942. Its totient is φ = 5376.

The previous prime is 16267. The next prime is 16273. The reversal of 16272 is 27261.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 7056 = 96^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

16272 is an undulating number in base 15.

It is a nialpdrome in base 4 and base 12.

It is not an unprimeable number, because it can be changed into a prime (16273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88 + ... + 200.

16272 is a Friedman number, since it can be written as 2712*6, using all its digits and the basic arithmetic operations.

216272 is an apocalyptic number.

16272 is a gapful number since it is divisible by the number (12) 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 16272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971).

16272 is an abundant number, since it is smaller than the sum of its proper divisors (29670).

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

16272 is a wasteful number, since it uses less digits than its factorization.

16272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 16272 is about 127.5617497528. The cubic root of 16272 is about 25.3404104573.

Adding to 16272 its sum of digits (18), we get a triangular number (16290 = T180).

It can be divided in two parts, 162 and 72, that multiplied together give a square (11664 = 1082).

The spelling of 16272 in words is "sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272