Search a number
-
+
20588928 = 27353617
BaseRepresentation
bin100111010001…
…0100110000000
31102202000200220
41032202212000
520232321203
62013143040
7340001013
oct116424600
942660626
1020588928
1110692848
126a8aa80
13435b4c9
142a3d37a
151c1a653
hex13a2980

20588928 has 32 divisors (see below), whose sum is σ = 54690360. Its totient is φ = 6862848.

The previous prime is 20588923. The next prime is 20588947. The reversal of 20588928 is 82988502.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20588928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20588923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26425 + ... + 27192.

Almost surely, 220588928 is an apocalyptic number.

It is an amenable number.

20588928 is an abundant number, since it is smaller than the sum of its proper divisors (34101432).

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

20588928 is an equidigital number, since it uses as much as digits as its factorization.

20588928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53634 (or 53622 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 20588928 is about 4537.5023966936. The cubic root of 20588928 is about 274.0803572007.

The spelling of 20588928 in words is "twenty million, five hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 53617 107234 160851 214468 321702 428936 643404 857872 1286808 1715744 2573616 3431488 5147232 6862976 10294464 20588928