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20243916 = 223271167109
BaseRepresentation
bin100110100111…
…0010111001100
31102002111102200
41031032113030
520140301131
62001521500
7334033110
oct115162714
942074380
1020243916
1110477610
126943290
13426a464
14298d740
151b9d2e6
hex134e5cc

20243916 has 144 divisors (see below), whose sum is σ = 65345280. Its totient is φ = 5132160.

The previous prime is 20243891. The next prime is 20243939. The reversal of 20243916 is 61934202.

It is a super-2 number, since 2×202439162 = 819632270030112, 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 20243916.

It is an unprimeable number.

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, 185670 + ... + 185778.

Almost surely, 220243916 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 20243916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672640).

20243916 is an abundant number, since it is smaller than the sum of its proper divisors (45101364).

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

20243916 is a wasteful number, since it uses less digits than its factorization.

20243916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20243916 is about 4499.3239492173. The cubic root of 20243916 is about 272.5407890013.

The spelling of 20243916 in words is "twenty million, two hundred forty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 67 77 84 99 109 126 132 134 154 198 201 218 231 252 268 308 327 396 402 436 462 469 603 654 693 737 763 804 924 938 981 1199 1206 1308 1386 1407 1474 1526 1876 1962 2211 2289 2398 2412 2772 2814 2948 3052 3597 3924 4221 4422 4578 4796 5159 5628 6633 6867 7194 7303 8393 8442 8844 9156 10318 10791 13266 13734 14388 14606 15477 16786 16884 20636 21582 21909 25179 26532 27468 29212 30954 33572 43164 43818 46431 50358 51121 61908 65727 75537 80333 87636 92862 100716 102242 131454 151074 153363 160666 185724 204484 240999 262908 302148 306726 321332 460089 481998 562331 613452 722997 920178 963996 1124662 1445994 1686993 1840356 2249324 2891988 3373986 5060979 6747972 10121958 20243916