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20656128 = 2123412
BaseRepresentation
bin100111011001…
…1000000000000
31102212102212210
41032303000000
520241444003
62014422120
7340400643
oct116630000
942772783
1020656128
1110729289
126b01940
134382c7c
142a59a5a
151c30503
hex13b3000

20656128 has 78 divisors (see below), whose sum is σ = 56452372. Its totient is φ = 6717440.

The previous prime is 20656121. The next prime is 20656183. The reversal of 20656128 is 82165602.

It is a junction number, because it is equal to n+sod(n) for n = 20656095 and 20656104.

It is not an unprimeable number, because it can be changed into a prime (20656121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503788 + ... + 503828.

Almost surely, 220656128 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 20656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226186).

20656128 is an abundant number, since it is smaller than the sum of its proper divisors (35796244).

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

20656128 is an frugal number, since it uses more digits than its factorization.

20656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20656128 is about 4544.9013190607. The cubic root of 20656128 is about 274.3782227644.

The spelling of 20656128 in words is "twenty million, six hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1681 1968 2048 2624 3072 3362 3936 4096 5043 5248 6144 6724 7872 10086 10496 12288 13448 15744 20172 20992 26896 31488 40344 41984 53792 62976 80688 83968 107584 125952 161376 167936 215168 251904 322752 430336 503808 645504 860672 1291008 1721344 2582016 3442688 5164032 6885376 10328064 20656128