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30460 = 2251523

30460 has 12 divisors (see below), whose sum is σ = 64008. Its totient is φ = 12176.

The previous prime is 30449. The next prime is 30467. The reversal of 30460 is 6403.

Adding to 30460 its reverse (6403), we get a palindrome (36863).

30460 = T73 + T74 + ... + T82.

It is a self number, because there is not a number n which added to its sum of digits gives 30460.

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 30460.

It is not an unprimeable number, because it can be changed into a prime (30467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 742 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

230460 is an apocalyptic number.

30460 is the 143-rd centered triangular number.

It is an amenable number.

30460 is an abundant number, since it is smaller than the sum of its proper divisors (33548).

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 (32004).

30460 is a wasteful number, since it uses less digits than its factorization.

30460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30460 is about 174.5279347268. The cubic root of 30460 is about 31.2303342936.

The spelling of 30460 in words is "thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1523 3046 6092 7615 15230 30460