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420430450 = 252115314423
BaseRepresentation
bin11001000011110…
…100001001110010
31002022010002011011
4121003310021302
51330112233300
6105415141134
713263412516
oct3103641162
91068102134
10420430450
111a635a690
12b89747aa
136914591b
143dba2146
1526d9beba
hex190f4272

420430450 has 48 divisors (see below), whose sum is σ = 869247936. Its totient is φ = 149988800.

The previous prime is 420430421. The next prime is 420430453. The reversal of 420430450 is 54034024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (420430453) 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 23 ways as a sum of consecutive naturals, for example, 21939 + ... + 36361.

It is an arithmetic number, because the mean of its divisors is an integer number (18109332).

Almost surely, 2420430450 is an apocalyptic number.

420430450 is an abundant number, since it is smaller than the sum of its proper divisors (448817486).

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

420430450 is a wasteful number, since it uses less digits than its factorization.

420430450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14499 (or 14494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 420430450 is about 20504.4007471567. The cubic root of 420430450 is about 749.1429914585.

Adding to 420430450 its reverse (54034024), we get a palindrome (474464474).

The spelling of 420430450 in words is "four hundred twenty million, four hundred thirty thousand, four hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 53 55 106 110 265 275 530 550 583 1166 1325 2650 2915 5830 14423 14575 28846 29150 72115 144230 158653 317306 360575 721150 764419 793265 1528838 1586530 3822095 3966325 7644190 7932650 8408609 16817218 19110475 38220950 42043045 84086090 210215225 420430450