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420540645 = 35717435479
BaseRepresentation
bin11001000100001…
…111000011100101
31002022022200022110
4121010033003211
51330124300040
6105421351233
713264352010
oct3104170345
91068280273
10420540645
111a6425458
12b8a08519
1369183b25
143dbd0377
1526dbe980
hex1910f0e5

420540645 has 64 divisors (see below), whose sum is σ = 833310720. Its totient is φ = 176698368.

The previous prime is 420540641. The next prime is 420540697. The reversal of 420540645 is 546045024.

It is not a de Polignac number, because 420540645 - 22 = 420540641 is a prime.

It is a super-3 number, since 3×4205406453 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420540641) 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, 74016 + ... + 79494.

It is an arithmetic number, because the mean of its divisors is an integer number (13020480).

Almost surely, 2420540645 is an apocalyptic number.

It is an amenable number.

420540645 is a deficient number, since it is larger than the sum of its proper divisors (412770075).

420540645 is a wasteful number, since it uses less digits than its factorization.

420540645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554.

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 420540645 is about 20507.0876771910. The cubic root of 420540645 is about 749.2084359735.

Adding to 420540645 its reverse (546045024), we get a palindrome (966585669).

It can be divided in two parts, 4205 and 40645, that added together give a triangular number (44850 = T299).

The spelling of 420540645 in words is "four hundred twenty million, five hundred forty thousand, six hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 43 51 85 105 119 129 215 255 301 357 595 645 731 903 1505 1785 2193 3655 4515 5117 5479 10965 15351 16437 25585 27395 38353 76755 82185 93143 115059 191765 235597 279429 465715 575295 652001 706791 1177985 1397145 1649179 1956003 3260005 3533955 4005149 4947537 8245895 9780015 12015447 20025745 24737685 28036043 60077235 84108129 140180215 420540645