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20905728 = 283163167
BaseRepresentation
bin100111110111…
…1111100000000
31110100010021020
41033233330000
520322440403
62024025440
7342460434
oct117577400
943303236
1020905728
1110889868
127002280
13443c76c
142ac29c4
151c7e453
hex13eff00

20905728 has 72 divisors (see below), whose sum is σ = 56316288. Its totient is φ = 6884352.

The previous prime is 20905727. The next prime is 20905747. The reversal of 20905728 is 82750902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20905727) 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, 125101 + ... + 125267.

Almost surely, 220905728 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 20905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158144).

20905728 is an abundant number, since it is smaller than the sum of its proper divisors (35410560).

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

20905728 is a wasteful number, since it uses less digits than its factorization.

20905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 20905728 is about 4572.2782067586. The cubic root of 20905728 is about 275.4789581680.

The spelling of 20905728 in words is "twenty million, nine hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 167 192 256 326 334 384 489 501 652 668 768 978 1002 1304 1336 1956 2004 2608 2672 3912 4008 5216 5344 7824 8016 10432 10688 15648 16032 20864 21376 27221 31296 32064 41728 42752 54442 62592 64128 81663 108884 125184 128256 163326 217768 326652 435536 653304 871072 1306608 1742144 2613216 3484288 5226432 6968576 10452864 20905728