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10364 = 222591
BaseRepresentation
bin10100001111100
3112012212
42201330
5312424
6115552
742134
oct24174
915185
1010364
117872
125bb8
134943
143ac4
15310e
hex287c

10364 has 6 divisors (see below), whose sum is σ = 18144. Its totient is φ = 5180.

The previous prime is 10357. The next prime is 10369. The reversal of 10364 is 46301.

Adding to 10364 its reverse (46301), we get a palindrome (56665).

Subtracting 10364 from its reverse (46301), we obtain a cube (35937 = 333).

10364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103643 = 3339669325632, which contains 333 as substring.

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 10364.

It is not an unprimeable number, because it can be changed into a prime (10369) 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 as a sum of consecutive naturals, namely, 1292 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

210364 is an apocalyptic number.

It is an amenable number.

10364 is a deficient number, since it is larger than the sum of its proper divisors (7780).

10364 is a wasteful number, since it uses less digits than its factorization.

10364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2593 counting only the distinct ones).

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

The square root of 10364 is about 101.8037327410. The cubic root of 10364 is about 21.8026425548.

The spelling of 10364 in words is "ten thousand, three hundred sixty-four".

Divisors: 1 2 4 2591 5182 10364