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20284656 = 243773827
BaseRepresentation
bin100110101100…
…0010011110000
31102011120022120
41031120103300
520143102111
62002434240
7334262640
oct115302360
942146276
1020284656
11104a5187
126962980
134282b72
1429a0520
151baa406
hex13584f0

20284656 has 80 divisors (see below), whose sum is σ = 60781824. Its totient is φ = 5709312.

The previous prime is 20284651. The next prime is 20284669. The reversal of 20284656 is 65648202.

It is a super-2 number, since 2×202846562 = 822934538076672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20284651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24115 + ... + 24941.

Almost surely, 220284656 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 20284656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30390912).

20284656 is an abundant number, since it is smaller than the sum of its proper divisors (40497168).

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

20284656 is a wasteful number, since it uses less digits than its factorization.

20284656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 20284656 is about 4503.8490205601. The cubic root of 20284656 is about 272.7234919880.

The spelling of 20284656 in words is "twenty million, two hundred eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 827 876 1022 1168 1533 1654 1752 2044 2481 3066 3308 3504 4088 4962 5789 6132 6616 8176 9924 11578 12264 13232 17367 19848 23156 24528 34734 39696 46312 60371 69468 92624 120742 138936 181113 241484 277872 362226 422597 482968 724452 845194 965936 1267791 1448904 1690388 2535582 2897808 3380776 5071164 6761552 10142328 20284656