30415 has 16 divisors (see below), whose sum is σ = 46080. Its totient is φ = 18720.

The previous prime is 30403. The next prime is 30427. The reversal of 30415 is 51403.

It is an interprime number because it is at equal distance from previous prime (30403) and next prime (30427).

It is a de Polignac number, because none of the positive numbers 2^{k}-30415 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 30395 and 30404.

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 30415.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 346 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2^{30415} is an apocalyptic number.

30415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30415 is a deficient number, since it is larger than the sum of its proper divisors (15665).

30415 is a wasteful number, since it uses less digits than its factorization.

30415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 30415 is about 174.3989678869. The cubic root of 30415 is about 31.2149473634.

Adding to 30415 its reverse (51403), we get a palindrome (81818).

It can be divided in two parts, 304 and 15, that multiplied together give a triangular number (4560 = T_{95}).

The spelling of 30415 in words is "thirty thousand, four hundred fifteen".

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