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20136816 = 243376659
BaseRepresentation
bin100110011010…
…0001101110000
31101220001112000
41030310031300
520123334231
61555334000
7333105630
oct114641560
941801460
1020136816
11104040a7
1268b1300
13423079b
1429626c0
151b7b6e6
hex1334370

20136816 has 80 divisors (see below), whose sum is σ = 66067200. Its totient is φ = 5752512.

The previous prime is 20136811. The next prime is 20136841. The reversal of 20136816 is 61863102.

It is a super-3 number, since 3×201368163 (a number of 23 digits) contains 333 as substring.

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 20136816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20136811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306 + ... + 6353.

It is an arithmetic number, because the mean of its divisors is an integer number (825840).

Almost surely, 220136816 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 20136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033600).

20136816 is an abundant number, since it is smaller than the sum of its proper divisors (45930384).

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

20136816 is a wasteful number, since it uses less digits than its factorization.

20136816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6671 counting only the distinct ones).

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

The square root of 20136816 is about 4487.4063778535. The cubic root of 20136816 is about 272.0593152072.

Adding to 20136816 its reverse (61863102), we get a palindrome (81999918).

The spelling of 20136816 in words is "twenty million, one hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6659 13318 19977 26636 39954 46613 53272 59931 79908 93226 106544 119862 139839 159816 179793 186452 239724 279678 319632 359586 372904 419517 479448 559356 719172 745808 839034 958896 1118712 1258551 1438344 1678068 2237424 2517102 2876688 3356136 5034204 6712272 10068408 20136816