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20633680 = 245257921
BaseRepresentation
bin100111010110…
…1100001010000
31102211022002101
41032231201100
520240234210
62014130144
7340245334
oct116554120
942738071
1020633680
1110713431
126ab0954
1343759a2
142a517c4
151c28a3a
hex13ad850

20633680 has 20 divisors (see below), whose sum is σ = 47973492. Its totient is φ = 8253440.

The previous prime is 20633663. The next prime is 20633729. The reversal of 20633680 is 8633602.

It can be written as a sum of positive squares in 2 ways, for example, as 13278736 + 7354944 = 3644^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 128881 + ... + 129040.

Almost surely, 220633680 is an apocalyptic number.

20633680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20633680 is an abundant number, since it is smaller than the sum of its proper divisors (27339812).

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

20633680 is a wasteful number, since it uses less digits than its factorization.

20633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257934 (or 257928 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 20633680 is about 4542.4310671710. The cubic root of 20633680 is about 274.2787934348.

It can be divided in two parts, 20 and 633680, that multiplied together give a square (12673600 = 35602).

The spelling of 20633680 in words is "twenty million, six hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257921 515842 1031684 1289605 2063368 2579210 4126736 5158420 10316840 20633680