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20818161 = 3371337229
BaseRepresentation
bin100111101101…
…0100011110001
31110011200011000
41033122203301
520312140121
62022112213
7341644230
oct117324361
943150130
1020818161
1110829aa1
126b7b669
13440b950
142a9cb17
151c63526
hex13da8f1

20818161 has 64 divisors (see below), whose sum is σ = 39155200. Its totient is φ = 10637568.

The previous prime is 20818153. The next prime is 20818181. The reversal of 20818161 is 16181802.

It is not a de Polignac number, because 20818161 - 23 = 20818153 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (20818121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90795 + ... + 91023.

It is an arithmetic number, because the mean of its divisors is an integer number (611800).

Almost surely, 220818161 is an apocalyptic number.

20818161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20818161 is the 2886-th heptagonal number.

It is an amenable number.

20818161 is a deficient number, since it is larger than the sum of its proper divisors (18337039).

20818161 is a wasteful number, since it uses less digits than its factorization.

20818161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 20818161 is about 4562.6922973175. The cubic root of 20818161 is about 275.0937905980.

Adding to 20818161 its reverse (16181802), we get a palindrome (36999963).

The spelling of 20818161 in words is "twenty million, eight hundred eighteen thousand, one hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 189 229 259 273 333 351 481 687 777 819 999 1443 1603 2061 2331 2457 2977 3367 4329 4809 6183 6993 8473 8931 10101 12987 14427 20839 25419 26793 30303 43281 59311 62517 76257 80379 90909 110149 177933 187551 228771 330447 533799 562653 771043 991341 1601397 2313129 2974023 6939387 20818161