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20575296 = 263872
BaseRepresentation
bin100111001111…
…1010001000000
31102201100000000
41032133101000
520231402141
62013000000
7336613200
oct116372100
942640000
1020575296
1110683585
126a83000
134355241
142a38400
151c165b6
hex139f440

20575296 has 189 divisors, whose sum is σ = 71238999. Its totient is φ = 5878656.

The previous prime is 20575259. The next prime is 20575301. The reversal of 20575296 is 69257502.

The square root of 20575296 is 4536.

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

It is a tau number, because it is divible by the number of its divisors (189).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20575296.

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 26 ways as a sum of consecutive naturals, for example, 2939325 + ... + 2939331.

Almost surely, 220575296 is an apocalyptic number.

20575296 is the 4536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20575296

20575296 is an abundant number, since it is smaller than the sum of its proper divisors (50663703).

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

20575296 is an frugal number, since it uses more digits than its factorization.

20575296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The cubic root of 20575296 is about 274.0198539967.

Multiplying 20575296 by its sum of digits (36), we get a square (740710656 = 272162).

20575296 divided by its sum of digits (36) gives a square (571536 = 7562).

The spelling of 20575296 in words is "twenty million, five hundred seventy-five thousand, two hundred ninety-six".