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12736 = 26199
BaseRepresentation
bin11000111000000
3122110201
43013000
5401421
6134544
752063
oct30700
918421
1012736
119629
127454
135a49
1448da
153b91
hex31c0

12736 has 14 divisors (see below), whose sum is σ = 25400. Its totient is φ = 6336.

The previous prime is 12721. The next prime is 12739. The reversal of 12736 is 63721.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36 + ... + 163.

212736 is an apocalyptic number.

12736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12736 is a deficient number, since it is larger than the sum of its proper divisors (12664).

12736 is an equidigital number, since it uses as much as digits as its factorization.

12736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 12736 is about 112.8538878373. The cubic root of 12736 is about 23.3530898433.

The spelling of 12736 in words is "twelve thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 199 398 796 1592 3184 6368 12736