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20576032 = 256183127
BaseRepresentation
bin100111001111…
…1011100100000
31102201101000021
41032133130200
520231413112
62013003224
7336615301
oct116373440
942641007
1020576032
1110684094
126a83514
134355689
142a387a8
151c16907
hex139f720

20576032 has 48 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 9918720.

The previous prime is 20576029. The next prime is 20576041. The reversal of 20576032 is 23067502.

It is a junction number, because it is equal to n+sod(n) for n = 20575988 and 20576006.

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, 161953 + ... + 162079.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 220576032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20576032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

20576032 is an abundant number, since it is smaller than the sum of its proper divisors (21421280).

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

20576032 is a wasteful number, since it uses less digits than its factorization.

20576032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 20576032 is about 4536.0811280223. The cubic root of 20576032 is about 274.0231212840.

The spelling of 20576032 in words is "twenty million, five hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 83 122 127 166 244 254 332 488 508 664 976 1016 1328 1952 2032 2656 4064 5063 7747 10126 10541 15494 20252 21082 30988 40504 42164 61976 81008 84328 123952 162016 168656 247904 337312 643001 1286002 2572004 5144008 10288016 20576032