20412 has 42 divisors (see below), whose sum is σ = 61208. Its totient is φ = 5832.

The previous prime is 20411. The next prime is 20431. The reversal of 20412 is 21402.

Adding to 20412 its reverse (21402), we get a palindrome (41814).

Subtracting 20412 from its reverse (21402), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 204 and 12, that added together give a cube (216 = 6^{3}).

20412 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (42).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Leyland number of the form 9^{3} + 3^{9}.

It is a nialpdrome in base 9, base 12 and base 14.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 20394 and 20403.

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 20412.

It is not an unprimeable number, because it can be changed into a prime (20411) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2913 + ... + 2919.

2^{20412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30604).

20412 is an abundant number, since it is smaller than the sum of its proper divisors (40796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20412 is an equidigital number, since it uses as much as digits as its factorization.

20412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20412 is about 142.8705707975. The cubic root of 20412 is about 27.3293007469.

The spelling of 20412 in words is "twenty thousand, four hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412

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