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1360 = 24517
BaseRepresentation
bin10101010000
31212101
4111100
520420
610144
73652
oct2520
91771
101360
111027
12954
13808
146d2
1560a
hex550

1360 has 20 divisors (see below), whose sum is σ = 3348. Its totient is φ = 512.

The previous prime is 1327. The next prime is 1361. The reversal of 1360 is 631.

1360 divided by its sum of digits (10) gives a triangular number (136 = T16).

Adding to 1360 its product of nonzero digits (18), we get a triangular number (1378 = T52).

Adding to 1360 its reverse (631), we get a palindrome (1991).

Subtracting from 1360 its reverse (631), we obtain a 6-th power (729 = 36).

It can be divided in two parts, 13 and 60, that multiplied together give a triangular number (780 = T39).

1360 is nontrivially palindromic in base 9 and base 13.

1360 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 576 = 28^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

1360 is an undulating number in base 13.

It is a nialpdrome in base 4, base 12 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361) by changing a digit.

1360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 1360 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 88.

1360 is a gapful number since it is divisible by the number (10) 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 1360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674).

1360 is an abundant number, since it is smaller than the sum of its proper divisors (1988).

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

1360 is a wasteful number, since it uses less digits than its factorization.

1360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1360 is about 36.8781778292. The cubic root of 1360 is about 11.0793165135.

The spelling of 1360 in words is "one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360