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20528256 = 273721091
BaseRepresentation
bin100111001001…
…1110010000000
31102121221110210
41032103302000
520223401011
62011554120
7336326100
oct116236200
942557423
1020528256
1110651201
126a5b940
1343399c8
142a25200
151c076a6
hex1393c80

20528256 has 96 divisors (see below), whose sum is σ = 63488880. Its totient is φ = 5859840.

The previous prime is 20528251. The next prime is 20528267. The reversal of 20528256 is 65282502.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20528251) 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, 18271 + ... + 19361.

Almost surely, 220528256 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 20528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744440).

20528256 is an abundant number, since it is smaller than the sum of its proper divisors (42960624).

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

20528256 is a wasteful number, since it uses less digits than its factorization.

20528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 20528256 is about 4530.8118477818. The cubic root of 20528256 is about 273.8108698903.

The spelling of 20528256 in words is "twenty million, five hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1091 1176 1344 1568 2182 2352 2688 3136 3273 4364 4704 6272 6546 7637 8728 9408 13092 15274 17456 18816 22911 26184 30548 34912 45822 52368 53459 61096 69824 91644 104736 106918 122192 139648 160377 183288 209472 213836 244384 320754 366576 418944 427672 488768 641508 733152 855344 977536 1283016 1466304 1710688 2566032 2932608 3421376 5132064 6842752 10264128 20528256