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20271384 = 2334741109
BaseRepresentation
bin100110101010…
…1000100011000
31102010220010000
41031111010120
520142141014
62002253000
7334206150
oct115250430
942126100
1020271384
1110496211
126957160
134279b03
142999760
151ba6509
hex1355118

20271384 has 160 divisors (see below), whose sum is σ = 67082400. Its totient is φ = 5598720.

The previous prime is 20271373. The next prime is 20271401. The reversal of 20271384 is 48317202.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185922 + ... + 186030.

It is an arithmetic number, because the mean of its divisors is an integer number (419265).

Almost surely, 220271384 is an apocalyptic number.

20271384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20271384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33541200).

20271384 is an abundant number, since it is smaller than the sum of its proper divisors (46811016).

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

20271384 is a wasteful number, since it uses less digits than its factorization.

20271384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20271384 is about 4502.3753730670. The cubic root of 20271384 is about 272.6639991396.

Adding to 20271384 its reverse (48317202), we get a palindrome (68588586).

The spelling of 20271384 in words is "twenty million, two hundred seventy-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 109 123 126 162 164 168 189 216 218 246 252 287 324 327 328 369 378 436 492 504 567 574 648 654 738 756 763 861 872 981 984 1107 1134 1148 1308 1476 1512 1526 1722 1962 2214 2268 2289 2296 2583 2616 2943 2952 3052 3321 3444 3924 4428 4469 4536 4578 5166 5886 6104 6642 6867 6888 7749 7848 8829 8856 8938 9156 10332 11772 13284 13407 13734 15498 17658 17876 18312 20601 20664 23247 23544 26568 26814 27468 30996 31283 35316 35752 40221 41202 46494 53628 54936 61803 61992 62566 70632 80442 82404 92988 93849 107256 120663 123606 125132 160884 164808 185976 187698 241326 247212 250264 281547 321768 361989 375396 482652 494424 563094 723978 750792 844641 965304 1126188 1447956 1689282 2252376 2533923 2895912 3378564 5067846 6757128 10135692 20271384