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1350 = 23352
BaseRepresentation
bin10101000110
31212000
4111012
520400
610130
73636
oct2506
91760
101350
111018
12946
137cb
146c6
15600
hex546

1350 has 24 divisors (see below), whose sum is σ = 3720. Its totient is φ = 360.

The previous prime is 1327. The next prime is 1361. The reversal of 1350 is 531.

Adding to 1350 its reverse (531), we get a palindrome (1881).

It can be divided in two parts, 1 and 350, that added together give a triangular number (351 = T26).

1350 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (9).

1350 is an undulating number in base 7 and base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 268 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (155).

1350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1350 is the 20-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860).

1350 is an abundant number, since it is smaller than the sum of its proper divisors (2370).

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

1350 is a wasteful number, since it uses less digits than its factorization.

1350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1350 is about 36.7423461417. The cubic root of 1350 is about 11.0520944959.

The spelling of 1350 in words is "one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350