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20626656 = 2532931239
BaseRepresentation
bin100111010101…
…1110011100000
31102210221110020
41032223303200
520240023111
62014033440
7340216011
oct116536340
942727406
1020626656
1110709126
126aa8880
13437272b
142a4d008
151c26906
hex13abce0

20626656 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 6397440.

The previous prime is 20626643. The next prime is 20626657. The reversal of 20626656 is 65662602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20626657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86185 + ... + 86423.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 220626656 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 20626656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

20626656 is an abundant number, since it is smaller than the sum of its proper divisors (37434144).

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

20626656 is a wasteful number, since it uses less digits than its factorization.

20626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 20626656 is about 4541.6578470862. The cubic root of 20626656 is about 274.2476670936.

It can be divided in two parts, 206 and 26656, that added together give a palindrome (26862).

The spelling of 20626656 in words is "twenty million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 239 248 348 372 464 478 496 696 717 744 899 928 956 992 1392 1434 1488 1798 1912 2697 2784 2868 2976 3596 3824 5394 5736 6931 7192 7409 7648 10788 11472 13862 14384 14818 20793 21576 22227 22944 27724 28768 29636 41586 43152 44454 55448 59272 83172 86304 88908 110896 118544 166344 177816 214861 221792 237088 332688 355632 429722 644583 665376 711264 859444 1289166 1718888 2578332 3437776 5156664 6875552 10313328 20626656