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10460 = 225523
BaseRepresentation
bin10100011011100
3112100102
42203130
5313320
6120232
742332
oct24334
915312
1010460
11794a
126078
1349b8
143b52
153175
hex28dc

10460 has 12 divisors (see below), whose sum is σ = 22008. Its totient is φ = 4176.

The previous prime is 10459. The next prime is 10463. The reversal of 10460 is 6401.

Adding to 10460 its reverse (6401), we get a palindrome (16861).

10460 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 3×104603 = 3433336008000, 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 10460.

It is not an unprimeable number, because it can be changed into a prime (10463) 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, 242 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (1834).

210460 is an apocalyptic number.

10460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10460 is an abundant number, since it is smaller than the sum of its proper divisors (11548).

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 (11004).

10460 is a wasteful number, since it uses less digits than its factorization.

10460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10460 is about 102.2741414044. The cubic root of 10460 is about 21.8697538440.

The spelling of 10460 in words is "ten thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 523 1046 2092 2615 5230 10460