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20577032 = 237379931
BaseRepresentation
bin100111001111…
…1101100001000
31102201102101022
41032133230020
520231431112
62013012012
7336621230
oct116375410
942642338
1020577032
1110684913
126a84008
134355c78
142a38cc0
151c16d72
hex139fb08

20577032 has 32 divisors (see below), whose sum is σ = 45289920. Its totient is φ = 8579520.

The previous prime is 20577013. The next prime is 20577059. The reversal of 20577032 is 23077502.

It is a junction number, because it is equal to n+sod(n) for n = 20576992 and 20577010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2894 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (1415310).

Almost surely, 220577032 is an apocalyptic number.

It is an amenable number.

20577032 is an abundant number, since it is smaller than the sum of its proper divisors (24712888).

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

20577032 is a wasteful number, since it uses less digits than its factorization.

20577032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 26.

The square root of 20577032 is about 4536.1913539885. The cubic root of 20577032 is about 274.0275604082.

The spelling of 20577032 in words is "twenty million, five hundred seventy-seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 9931 19862 39724 69517 79448 139034 278068 367447 556136 734894 1469788 2572129 2939576 5144258 10288516 20577032