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420220404 = 223211672789
BaseRepresentation
bin11001000011000…
…000110111110100
31002021201102000200
4121003000313310
51330034023104
6105410440500
713261546242
oct3103006764
91067642020
10420220404
111a622689a
12b8893130
13690a1136
143db49792
1526d59b39
hex190c0df4

420220404 has 18 divisors (see below), whose sum is σ = 1062223890. Its totient is φ = 140073456.

The previous prime is 420220369. The next prime is 420220429. The reversal of 420220404 is 404022024.

420220404 is a `hidden beast` number, since 42 + 0 + 220 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400400100 + 19820304 = 20010^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5836359 + ... + 5836430.

Almost surely, 2420220404 is an apocalyptic number.

It is an amenable number.

420220404 is an abundant number, since it is smaller than the sum of its proper divisors (642003486).

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

420220404 is a wasteful number, since it uses less digits than its factorization.

420220404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672799 (or 11672794 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420220404 is about 20499.2781336319. The cubic root of 420220404 is about 749.0182140225.

Adding to 420220404 its reverse (404022024), we get a palindrome (824242428).

The spelling of 420220404 in words is "four hundred twenty million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 11672789 23345578 35018367 46691156 70036734 105055101 140073468 210110202 420220404