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1036 = 22737
BaseRepresentation
bin10000001100
31102101
4100030
513121
64444
73010
oct2014
91371
101036
11862
12724
13619
14540
15491
hex40c

1036 has 12 divisors (see below), whose sum is σ = 2128. Its totient is φ = 432.

The previous prime is 1033. The next prime is 1039. The reversal of 1036 is 6301.

1036 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (1033) and next prime (1039).

1036 is an admirable number.

It is a super-3 number, since 3×10363 = 3335803968, which contains 333 as substring.

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

It is a pancake number, because a pancake can be divided into 1036 parts by 45 straight cuts.

1036 is a nontrivial repdigit in base 6.

It is a plaindrome in base 6.

It is a nialpdrome in base 6, base 11 and base 14.

It is a zygodrome in base 6.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 46.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064).

1036 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.

1036 is a wasteful number, since it uses less digits than its factorization.

1036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 46 counting only the distinct ones).

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

The square root of 1036 is about 32.1869538789. The cubic root of 1036 is about 10.1185881266.

The spelling of 1036 in words is "one thousand, thirty-six".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 1036