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20528064 = 2632157227
BaseRepresentation
bin100111001001…
…1101111000000
31102121221012200
41032103233000
520223344224
62011553200
7336325404
oct116235700
942557180
1020528064
1110651047
126a5b800
1343398ab
142a25104
151c075c9
hex1393bc0

20528064 has 84 divisors (see below), whose sum is σ = 59475624. Its totient is φ = 6769152.

The previous prime is 20528051. The next prime is 20528069. The reversal of 20528064 is 46082502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20528069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90319 + ... + 90545.

Almost surely, 220528064 is an apocalyptic number.

20528064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29737812).

20528064 is an abundant number, since it is smaller than the sum of its proper divisors (38947560).

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

20528064 is a wasteful number, since it uses less digits than its factorization.

20528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20528064 is about 4530.7906594766. The cubic root of 20528064 is about 273.8100162401.

The spelling of 20528064 in words is "twenty million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 227 288 314 454 471 576 628 681 908 942 1256 1362 1413 1816 1884 2043 2512 2724 2826 3632 3768 4086 5024 5448 5652 7264 7536 8172 10048 10896 11304 14528 15072 16344 21792 22608 30144 32688 35639 43584 45216 65376 71278 90432 106917 130752 142556 213834 285112 320751 427668 570224 641502 855336 1140448 1283004 1710672 2280896 2566008 3421344 5132016 6842688 10264032 20528064