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20827264 = 27162713
BaseRepresentation
bin100111101110…
…0110010000000
31110012010122011
41033130302000
520312433024
62022222304
7342012613
oct117346200
943163564
1020827264
1110835917
126b84994
134412b33
142aa217a
151c66094
hex13dcc80

20827264 has 16 divisors (see below), whose sum is σ = 41492070. Its totient is φ = 10413568.

The previous prime is 20827253. The next prime is 20827267. The reversal of 20827264 is 46272802.

It can be written as a sum of positive squares in only one way, i.e., 19289664 + 1537600 = 4392^2 + 1240^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (20827267) by changing a digit.

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 as a sum of consecutive naturals, namely, 81229 + ... + 81484.

Almost surely, 220827264 is an apocalyptic number.

It is an amenable number.

20827264 is a deficient number, since it is larger than the sum of its proper divisors (20664806).

20827264 is an equidigital number, since it uses as much as digits as its factorization.

20827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162727 (or 162715 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 20827264 is about 4563.6897352910. The cubic root of 20827264 is about 275.1338808165.

It can be divided in two parts, 208 and 27264, that added together give a palindrome (27472).

The spelling of 20827264 in words is "twenty million, eight hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 162713 325426 650852 1301704 2603408 5206816 10413632 20827264