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20636064 = 253279907
BaseRepresentation
bin100111010111…
…0000110100000
31102211102100200
41032232012200
520240323224
62014145200
7340255311
oct116560640
942742320
1020636064
11107151a9
126ab2200
134376ab7
142a52608
151c295c9
hex13ae1a0

20636064 has 72 divisors (see below), whose sum is σ = 59492160. Its totient is φ = 6784128.

The previous prime is 20636059. The next prime is 20636089. The reversal of 20636064 is 46063602.

20636064 is a `hidden beast` number, since 20 + 636 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 22299 + ... + 23205.

It is an arithmetic number, because the mean of its divisors is an integer number (826280).

Almost surely, 220636064 is an apocalyptic number.

20636064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20636064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29746080).

20636064 is an abundant number, since it is smaller than the sum of its proper divisors (38856096).

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

20636064 is a wasteful number, since it uses less digits than its factorization.

20636064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20636064 is about 4542.6934741406. The cubic root of 20636064 is about 274.2893563504.

Adding to 20636064 its reverse (46063602), we get a palindrome (66699666).

The spelling of 20636064 in words is "twenty million, six hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 907 948 1264 1422 1814 1896 2528 2721 2844 3628 3792 5442 5688 7256 7584 8163 10884 11376 14512 16326 21768 22752 29024 32652 43536 65304 71653 87072 130608 143306 214959 261216 286612 429918 573224 644877 859836 1146448 1289754 1719672 2292896 2579508 3439344 5159016 6878688 10318032 20636064