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20629764 = 22327572
BaseRepresentation
bin100111010110…
…0100100000100
31102211002201100
41032230210010
520240123024
62014100100
7340231041
oct116544404
942732640
1020629764
11107104a1
126aaa630
134373c7c
142a501c8
151c277c9
hex13ac904

20629764 has 27 divisors (see below), whose sum is σ = 52216437. Its totient is φ = 6867504.

The previous prime is 20629751. The next prime is 20629783. The reversal of 20629764 is 46792602.

It is a happy number.

The square root of 20629764 is 4542.

It is a perfect power (a square), and thus also a powerful number.

20629764 is a `hidden beast` number, since 20 + 629 + 7 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12744900 + 7884864 = 3570^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26874 + ... + 27630.

Almost surely, 220629764 is an apocalyptic number.

20629764 is the 4542-nd square number.

It is an amenable number.

20629764 is an abundant number, since it is smaller than the sum of its proper divisors (31586673).

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

20629764 is an equidigital number, since it uses as much as digits as its factorization.

20629764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 20629764 is about 274.2614408393.

Multiplying 20629764 by its sum of digits (36), we get a square (742671504 = 272522).

20629764 divided by its sum of digits (36) gives a square (573049 = 7572).

The spelling of 20629764 in words is "twenty million, six hundred twenty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 757 1514 2271 3028 4542 6813 9084 13626 27252 573049 1146098 1719147 2292196 3438294 5157441 6876588 10314882 20629764