Search a number
10036 = 2213193
BaseRepresentation
bin10011100110100
3111202201
42130310
5310121
6114244
741155
oct23464
914681
1010036
1175a4
125984
134750
14392c
152e91
hex2734

10036 has 12 divisors (see below), whose sum is σ = 19012. Its totient is φ = 4608.

The previous prime is 10009. The next prime is 10037. The reversal of 10036 is 63001.

10036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 8100 = 44^2 + 90^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 148.

210036 is an apocalyptic number.

It is an amenable number.

10036 is a deficient number, since it is larger than the sum of its proper divisors (8976).

10036 is a wasteful number, since it uses less digits than its factorization.

10036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

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

The square root of 10036 is about 100.1798382909. The cubic root of 10036 is about 21.5701691546.

Adding to 10036 its reverse (63001), we get a palindrome (73037).

It can be divided in two parts, 100 and 36, that multiplied together give a square (3600 = 602).

The spelling of 10036 in words is "ten thousand, thirty-six".

Divisors: 1 2 4 13 26 52 193 386 772 2509 5018 10036