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20560128 = 283191409
BaseRepresentation
bin100111001101…
…1100100000000
31102200120012020
41032123210000
520230411003
62012401440
7336521031
oct116334400
942616166
1020560128
1110673146
126a76280
13434b374
142a32a88
151c11d53
hex139b900

20560128 has 72 divisors (see below), whose sum is σ = 57640800. Its totient is φ = 6488064.

The previous prime is 20560121. The next prime is 20560129. The reversal of 20560128 is 82106502.

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 = 20560098 and 20560107.

It is not an unprimeable number, because it can be changed into a prime (20560121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13888 + ... + 15296.

Almost surely, 220560128 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 20560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28820400).

20560128 is an abundant number, since it is smaller than the sum of its proper divisors (37080672).

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

20560128 is a wasteful number, since it uses less digits than its factorization.

20560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 20560128 is about 4534.3277340748. The cubic root of 20560128 is about 273.9525021118.

The spelling of 20560128 in words is "twenty million, five hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1409 1824 2432 2818 3648 4227 4864 5636 7296 8454 11272 14592 16908 22544 26771 33816 45088 53542 67632 80313 90176 107084 135264 160626 180352 214168 270528 321252 360704 428336 541056 642504 856672 1082112 1285008 1713344 2570016 3426688 5140032 6853376 10280064 20560128