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20496 = 243761

20496 has 40 divisors (see below), whose sum is σ = 61504. Its totient is φ = 5760.

The previous prime is 20483. The next prime is 20507. The reversal of 20496 is 69402.

Adding to 20496 its reverse (69402), we get a palindrome (89898).

It can be divided in two parts, 204 and 96, that added together give a triangular number (300 = T24).

20496 = T73 + T74 + ... + T79.

20496 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is an unprimeable number.

20496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 366.

220496 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 20496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30752).

20496 is an abundant number, since it is smaller than the sum of its proper divisors (41008).

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

20496 is a wasteful number, since it uses less digits than its factorization.

20496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20496 is about 143.1642413454. The cubic root of 20496 is about 27.3667381920.

The spelling of 20496 in words is "twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5124 6832 10248 20496