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6420465 = 34583191
BaseRepresentation
bin11000011111011111110001
3110002012020000
4120133133301
53120423330
6345340213
7105400362
oct30373761
913065200
106420465
113695877
122197669
13143a4bc
14bd1b69
1586c560
hex61f7f1

6420465 has 40 divisors (see below), whose sum is σ = 11708928. Its totient is φ = 3365280.

The previous prime is 6420457. The next prime is 6420467. The reversal of 6420465 is 5640246.

It is a happy number.

It is not a de Polignac number, because 6420465 - 23 = 6420457 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6420467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33520 + ... + 33710.

Almost surely, 26420465 is an apocalyptic number.

It is an amenable number.

6420465 is a deficient number, since it is larger than the sum of its proper divisors (5288463).

6420465 is a wasteful number, since it uses less digits than its factorization.

6420465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6420465 is about 2533.8636506332. The cubic root of 6420465 is about 185.8612388578.

Adding to 6420465 its product of nonzero digits (5760), we get a square (6426225 = 25352).

The spelling of 6420465 in words is "six million, four hundred twenty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 83 135 191 249 405 415 573 747 955 1245 1719 2241 2865 3735 5157 6723 8595 11205 15471 15853 25785 33615 47559 77355 79265 142677 237795 428031 713385 1284093 2140155 6420465