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10436 = 222609
BaseRepresentation
bin10100011000100
3112022112
42203010
5313221
6120152
742266
oct24304
915275
1010436
117928
126058
13499a
143b36
15315b
hex28c4

10436 has 6 divisors (see below), whose sum is σ = 18270. Its totient is φ = 5216.

The previous prime is 10433. The next prime is 10453. The reversal of 10436 is 63401.

It can be written as a sum of positive squares in only one way, i.e., 8836 + 1600 = 94^2 + 40^2 .

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 10436.

It is not an unprimeable number, because it can be changed into a prime (10433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1301 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (3045).

210436 is an apocalyptic number.

It is an amenable number.

10436 is a deficient number, since it is larger than the sum of its proper divisors (7834).

10436 is a wasteful number, since it uses less digits than its factorization.

10436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10436 is about 102.1567423130. The cubic root of 10436 is about 21.8530146458.

Adding to 10436 its reverse (63401), we get a palindrome (73837).

The spelling of 10436 in words is "ten thousand, four hundred thirty-six".

Divisors: 1 2 4 2609 5218 10436