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1386 = 232711
BaseRepresentation
bin10101101010
31220100
4111222
521021
610230
74020
oct2552
91810
101386
111050
12976
13828
14710
15626
hex56a

1386 has 24 divisors (see below), whose sum is σ = 3744. Its totient is φ = 360.

The previous prime is 1381. The next prime is 1399. The reversal of 1386 is 6831.

1386 is nontrivially palindromic in base 8, base 13 and base 15.

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

It is a d-powerful number, because it can be written as 1 + 8 + 34 + 64 .

1386 is an undulating number in base 13 and base 15.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 12 and base 14.

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 (1381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (156).

It is a practical number, because each smaller number is the sum of distinct divisors of 1386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872).

1386 is an abundant number, since it is smaller than the sum of its proper divisors (2358).

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

1386 is a wasteful number, since it uses less digits than its factorization.

1386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 23 counting only the distinct ones).

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

The square root of 1386 is about 37.2290209380. The cubic root of 1386 is about 11.1494747955.

1386 divided by its sum of digits (18) gives a palindrome (77).

Subtracting 1386 from its reverse (6831), we obtain a palindrome (5445).

It can be divided in two parts, 138 and 6, that multiplied together give a palindrome (828).

The spelling of 1386 in words is "one thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386