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1368 = 233219
BaseRepresentation
bin10101011000
31212200
4111120
520433
610200
73663
oct2530
91780
101368
111034
12960
13813
146da
15613
hex558

1368 has 24 divisors (see below), whose sum is σ = 3900. Its totient is φ = 432.

The previous prime is 1367. The next prime is 1373. The reversal of 1368 is 8631.

Adding to 1368 its reverse (8631), we get a palindrome (9999).

It can be divided in two parts, 136 and 8, that added together give a square (144 = 122).

1368 is nontrivially palindromic in base 7.

It is a Cunningham number, because it is equal to 372-1.

It is a tau number, because it is divible by the number of its divisors (24).

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.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (144) is a multiple of the sum of its prime divisors (24).

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361) 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 in 5 ways as a sum of consecutive naturals, for example, 63 + ... + 81.

1368 is a gapful number since it is divisible by the number (18) 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 1368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950).

1368 is an abundant number, since it is smaller than the sum of its proper divisors (2532).

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

1368 is a wasteful number, since it uses less digits than its factorization.

1368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 24 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1368 is about 36.9864840178. The cubic root of 1368 is about 11.1009982058.

The spelling of 1368 in words is "one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368