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420421504 = 2731105953
BaseRepresentation
bin11001000011110…
…001111110000000
31002022002121212211
4121003301332000
51330111442004
6105415031504
713263344446
oct3103617600
91068077784
10420421504
111a6353998
12b896b594
1369141829
143db9cb96
1526d99504
hex190f1f80

420421504 has 32 divisors (see below), whose sum is σ = 864584640. Its totient is φ = 203427840.

The previous prime is 420421501. The next prime is 420421513. The reversal of 420421504 is 405124024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420421501) 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 3 ways as a sum of consecutive naturals, for example, 49009 + ... + 56944.

It is an arithmetic number, because the mean of its divisors is an integer number (27018270).

Almost surely, 2420421504 is an apocalyptic number.

It is an amenable number.

420421504 is an abundant number, since it is smaller than the sum of its proper divisors (444163136).

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

420421504 is a wasteful number, since it uses less digits than its factorization.

420421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105998 (or 105986 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 420421504 is about 20504.1825977043. The cubic root of 420421504 is about 749.1376779513.

Adding to 420421504 its reverse (405124024), we get a palindrome (825545528).

The spelling of 420421504 in words is "four hundred twenty million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 105953 211906 423812 847624 1695248 3284543 3390496 6569086 6780992 13138172 13561984 26276344 52552688 105105376 210210752 420421504