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20621916 = 22327195973
BaseRepresentation
bin100111010101…
…0101001011100
31102210200221200
41032222221130
520234400131
62013555500
7340166130
oct116525134
942720850
1020621916
1110705607
126aa5b90
134370523
142a4b3c0
151c252e6
hex13aaa5c

20621916 has 144 divisors (see below), whose sum is σ = 64646400. Its totient is φ = 5412096.

The previous prime is 20621903. The next prime is 20621917. The reversal of 20621916 is 61912602.

20621916 is a `hidden beast` number, since 20 + 621 + 9 + 16 = 666.

It is a super-2 number, since 2×206219162 = 850526839022112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20621916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20621917) 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 47 ways as a sum of consecutive naturals, for example, 282456 + ... + 282528.

Almost surely, 220621916 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 20621916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32323200).

20621916 is an abundant number, since it is smaller than the sum of its proper divisors (44024484).

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

20621916 is a wasteful number, since it uses less digits than its factorization.

20621916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20621916 is about 4541.1359812276. The cubic root of 20621916 is about 274.2266581375.

It can be divided in two parts, 206 and 21916, that added together give a palindrome (22122).

The spelling of 20621916 in words is "twenty million, six hundred twenty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 59 63 73 76 84 114 118 126 133 146 171 177 219 228 236 252 266 292 342 354 399 413 438 511 531 532 657 684 708 798 826 876 1022 1062 1121 1197 1239 1314 1387 1533 1596 1652 2044 2124 2242 2394 2478 2628 2774 3066 3363 3717 4161 4307 4484 4599 4788 4956 5548 6132 6726 7434 7847 8322 8614 9198 9709 10089 12483 12921 13452 14868 15694 16644 17228 18396 19418 20178 23541 24966 25842 29127 30149 31388 38763 38836 40356 47082 49932 51684 58254 60298 70623 77526 81833 87381 90447 94164 116508 120596 141246 155052 163666 174762 180894 245499 271341 282492 327332 349524 361788 490998 542682 572831 736497 981996 1085364 1145662 1472994 1718493 2291324 2945988 3436986 5155479 6873972 10310958 20621916