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14256 = 243411
BaseRepresentation
bin11011110110000
3201120000
43132300
5424011
6150000
756364
oct33660
921500
1014256
11a790
128300
136648
1452a4
154356
hex37b0

14256 has 50 divisors (see below), whose sum is σ = 45012. Its totient is φ = 4320.

The previous prime is 14251. The next prime is 14281. The reversal of 14256 is 65241.

It is a happy number.

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

Its product of digits (240) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (14251) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1291 + ... + 1301.

14256 is a Friedman number, since it can be written as 6^4*(5*2+1), using all its digits and the basic arithmetic operations.

214256 is an apocalyptic number.

14256 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 14256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506).

14256 is an abundant number, since it is smaller than the sum of its proper divisors (30756).

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

14256 is a wasteful number, since it uses less digits than its factorization.

14256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 16 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 14256 is about 119.3984924528. The cubic root of 14256 is about 24.2474401237.

Adding to 14256 its reverse (65241), we get a palindrome (79497).

It can be divided in two parts, 1425 and 6, that added together give a triangular number (1431 = T53).

The spelling of 14256 in words is "fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256