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BaseRepresentation
bin10000000010
31102000
4100002
513101
64430
72664
oct2002
91360
101026
11853
12716
1360c
14534
15486
hex402

1026 has 16 divisors (see below), whose sum is σ = 2400. Its totient is φ = 324.

The previous prime is 1021. The next prime is 1031. The reversal of 1026 is 6201.

Adding to 1026 its reverse (6201), we get a palindrome (7227).

It can be divided in two parts, 10 and 26, that added together give a triangular number (36 = T8).

1026 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (1021) and next prime (1031).

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

It is a Curzon number.

It is a nialpdrome in base 6 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 999 and 1017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1026.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 63.

It is an arithmetic number, because the mean of its divisors is an integer number (150).

21026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200).

1026 is an abundant number, since it is smaller than the sum of its proper divisors (1374).

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

1026 is a wasteful number, since it uses less digits than its factorization.

1026 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 12, while the sum is 9.

The square root of 1026 is about 32.0312347561. The cubic root of 1026 is about 10.0859262204.

The spelling of 1026 in words is "one thousand, twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026