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20104461 = 32132331241
BaseRepresentation
bin100110010110…
…0010100001101
31101211102010200
41030230110031
520121320321
61554524113
7332612406
oct114542415
941742120
1020104461
1110391863
126896639
13421bb40
1429549ad
151b71d26
hex132c50d

20104461 has 48 divisors (see below), whose sum is σ = 33825792. Its totient is φ = 11404800.

The previous prime is 20104433. The next prime is 20104493. The reversal of 20104461 is 16440102.

20104461 is a `hidden beast` number, since 201 + 0 + 4 + 461 = 666.

It is not a de Polignac number, because 20104461 - 25 = 20104429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20104361) 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 47 ways as a sum of consecutive naturals, for example, 83301 + ... + 83541.

It is an arithmetic number, because the mean of its divisors is an integer number (704704).

Almost surely, 220104461 is an apocalyptic number.

It is an amenable number.

20104461 is a deficient number, since it is larger than the sum of its proper divisors (13721331).

20104461 is a wasteful number, since it uses less digits than its factorization.

20104461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20104461 is about 4483.7998394219. The cubic root of 20104461 is about 271.9135258920.

Adding to 20104461 its reverse (16440102), we get a palindrome (36544563).

The spelling of 20104461 in words is "twenty million, one hundred four thousand, four hundred sixty-one".

Divisors: 1 3 9 13 23 31 39 69 93 117 207 241 279 299 403 713 723 897 1209 2139 2169 2691 3133 3627 5543 6417 7471 9269 9399 16629 22413 27807 28197 49887 67239 72059 83421 97123 171833 216177 291369 515499 648531 874107 1546497 2233829 6701487 20104461