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20656032 = 2531032089
BaseRepresentation
bin100111011001…
…0111110100000
31102212102202020
41032302332200
520241443112
62014421440
7340400445
oct116627640
942772666
1020656032
1110729201
126b01880
134382c07
142a599cc
151c3048c
hex13b2fa0

20656032 has 48 divisors (see below), whose sum is σ = 54774720. Its totient is φ = 6815232.

The previous prime is 20655997. The next prime is 20656057. The reversal of 20656032 is 23065602.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20655993 and 20656011.

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, 8844 + ... + 10932.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 220656032 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 20656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387360).

20656032 is an abundant number, since it is smaller than the sum of its proper divisors (34118688).

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

20656032 is a wasteful number, since it uses less digits than its factorization.

20656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 20656032 is about 4544.8907577631. The cubic root of 20656032 is about 274.3777977033.

The spelling of 20656032 in words is "twenty million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2089 2472 3296 4178 4944 6267 8356 9888 12534 16712 25068 33424 50136 66848 100272 200544 215167 430334 645501 860668 1291002 1721336 2582004 3442672 5164008 6885344 10328016 20656032