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20163816 = 233429237
BaseRepresentation
bin100110011101…
…0110011101000
31101221102120000
41030322303220
520130220231
62000103000
7333250431
oct114726350
941842500
1020163816
1110422412
126904a60
13423cb6a
14296c488
151b846e6
hex133ace8

20163816 has 120 divisors (see below), whose sum is σ = 60072870. Its totient is φ = 6314112.

The previous prime is 20163811. The next prime is 20163817. The reversal of 20163816 is 61836102.

20163816 is a `hidden beast` number, since 20 + 1 + 638 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19766916 + 396900 = 4446^2 + 630^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20163816.

It is not an unprimeable number, because it can be changed into a prime (20163811) 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 29 ways as a sum of consecutive naturals, for example, 544950 + ... + 544986.

Almost surely, 220163816 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 20163816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30036435).

20163816 is an abundant number, since it is smaller than the sum of its proper divisors (39909054).

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

20163816 is a wasteful number, since it uses less digits than its factorization.

20163816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20163816 is about 4490.4137893963. The cubic root of 20163816 is about 272.1808557872.

Adding to 20163816 its reverse (61836102), we get a palindrome (81999918).

It can be divided in two parts, 2016 and 3816, that added together give a cube (5832 = 183).

The spelling of 20163816 in words is "twenty million, one hundred sixty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 261 296 324 333 348 444 522 648 666 696 783 841 888 999 1044 1073 1332 1566 1682 1998 2088 2146 2349 2523 2664 2997 3132 3219 3364 3996 4292 4698 5046 5994 6264 6438 6728 7569 7992 8584 9396 9657 10092 11988 12876 15138 18792 19314 20184 22707 23976 25752 28971 30276 31117 38628 45414 57942 60552 62234 68121 77256 86913 90828 93351 115884 124468 136242 173826 181656 186702 231768 248936 272484 280053 347652 373404 544968 560106 695304 746808 840159 1120212 1680318 2240424 2520477 3360636 5040954 6721272 10081908 20163816