Search a number
-
+
420245775 = 32526167457
BaseRepresentation
bin11001000011000…
…111000100001111
31002021202200211100
4121003013010033
51330040331100
6105411154143
713262013225
oct3103070417
91067680740
10420245775
111a6243964
12b88a5953
13690ac851
143db54b15
1526d62400
hex190c710f

420245775 has 72 divisors (see below), whose sum is σ = 778163984. Its totient is φ = 216691200.

The previous prime is 420245747. The next prime is 420245779. The reversal of 420245775 is 577542024.

It is a happy number.

It is not a de Polignac number, because 420245775 - 215 = 420213007 is a prime.

It is a super-2 number, since 2×4202457752 = 353213022810701250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420245779) 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 71 ways as a sum of consecutive naturals, for example, 919347 + ... + 919803.

Almost surely, 2420245775 is an apocalyptic number.

420245775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420245775 is a deficient number, since it is larger than the sum of its proper divisors (357918209).

420245775 is a wasteful number, since it uses less digits than its factorization.

420245775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 420245775 is about 20499.8969509605. The cubic root of 420245775 is about 749.0332878255.

Adding to 420245775 its reverse (577542024), we get a palindrome (997787799).

The spelling of 420245775 in words is "four hundred twenty million, two hundred forty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 61 67 75 183 201 225 305 335 457 549 603 915 1005 1371 1525 1675 2285 2745 3015 4087 4113 4575 5025 6855 11425 12261 13725 15075 20435 20565 27877 30619 34275 36783 61305 83631 91857 102175 102825 139385 153095 183915 250893 275571 306525 418155 459285 696925 765475 919575 1254465 1377855 1867759 2090775 2296425 5603277 6272325 6889275 9338795 16809831 28016385 46693975 84049155 140081925 420245775