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290058405 = 35713239239
BaseRepresentation
bin10001010010011…
…111000010100101
3202012210111022220
4101102133002211
51043223332110
644440542553
710121312220
oct2122370245
9665714286
10290058405
1113980419a
1281181a59
13481299c0
142a7465b7
151a6e8370
hex1149f0a5

290058405 has 64 divisors (see below), whose sum is σ = 596090880. Its totient is φ = 117063936.

The previous prime is 290058401. The next prime is 290058407. The reversal of 290058405 is 504850092.

It is not a de Polignac number, because 290058405 - 22 = 290058401 is a prime.

It is a super-2 number, since 2×2900584052 = 168267756622288050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290058401) 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 63 ways as a sum of consecutive naturals, for example, 26776 + ... + 36014.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2290058405 is an apocalyptic number.

It is an amenable number.

290058405 is an abundant number, since it is smaller than the sum of its proper divisors (306032475).

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

290058405 is a wasteful number, since it uses less digits than its factorization.

290058405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 290058405 is about 17031.1011094409. The cubic root of 290058405 is about 661.9550273237.

The spelling of 290058405 in words is "two hundred ninety million, fifty-eight thousand, four hundred five".

Divisors: 1 3 5 7 13 15 21 23 35 39 65 69 91 105 115 161 195 273 299 345 455 483 805 897 1365 1495 2093 2415 4485 6279 9239 10465 27717 31395 46195 64673 120107 138585 194019 212497 323365 360321 600535 637491 840749 970095 1062485 1487479 1801605 2522247 2762461 3187455 4203745 4462437 7437395 8287383 12611235 13812305 19337227 22312185 41436915 58011681 96686135 290058405