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1038 = 23173
BaseRepresentation
bin10000001110
31102110
4100032
513123
64450
73012
oct2016
91373
101038
11864
12726
1361b
14542
15493
hex40e

1038 has 8 divisors (see below), whose sum is σ = 2088. Its totient is φ = 344.

The previous prime is 1033. The next prime is 1039. The reversal of 1038 is 8301.

Adding to 1038 its reverse (8301), we get a palindrome (9339).

It can be divided in two parts, 103 and 8, that added together give a palindrome (111).

It is a sphenic number, since it is the product of 3 distinct primes.

1038 is an admirable number.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 11 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1038.

It is not an unprimeable number, because it can be changed into a prime (1031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (261).

1038 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044).

1038 is a wasteful number, since it uses less digits than its factorization.

1038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1038 is about 32.2180073872. The cubic root of 1038 is about 10.1250952590.

The spelling of 1038 in words is "one thousand, thirty-eight".

Divisors: 1 2 3 6 173 346 519 1038