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1296 = 2434
BaseRepresentation
bin10100010000
31210000
4110100
520141
610000
73531
oct2420
91700
101296
11a79
12900
13789
14688
155b6
hex510

1296 has 25 divisors (see below), whose sum is σ = 3751. Its totient is φ = 432.

The previous prime is 1291. The next prime is 1297. The reversal of 1296 is 6921.

Subtracting 1296 from its reverse (6921), we obtain a square (5625 = 752).

1296 = T35 + T36.

1296 = 13 + 23 + ... + 83.

The square root of 1296 is 36.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)4.

1296 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

It is a Duffinian number.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 6, base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1291) by changing a digit.

1296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 4 ways as a sum of consecutive naturals, for example, 431 + 432 + 433.

1296 is a Friedman number, since it can be written as 16*9^2, using all its digits and the basic arithmetic operations.

1296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1296 is the 36-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296

1296 is an abundant number, since it is smaller than the sum of its proper divisors (2455).

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

1296 is an equidigital number, since it uses as much as digits as its factorization.

1296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20 (or 5 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The cubic root of 1296 is about 10.9027235570.

The spelling of 1296 in words is "one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296