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420220401 = 3311461977
BaseRepresentation
bin11001000011000…
…000110111110001
31002021201102000120
4121003000313301
51330034023101
6105410440453
713261546236
oct3103006761
91067642016
10420220401
111a6226897
12b8893129
13690a1133
143db4978d
1526d59b36
hex190c0df1

420220401 has 16 divisors (see below), whose sum is σ = 563891328. Its totient is φ = 278355200.

The previous prime is 420220369. The next prime is 420220429. The reversal of 420220401 is 104022024.

It is a cyclic number.

It is not a de Polignac number, because 420220401 - 25 = 420220369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420220441) 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 15 ways as a sum of consecutive naturals, for example, 429625 + ... + 430601.

It is an arithmetic number, because the mean of its divisors is an integer number (35243208).

Almost surely, 2420220401 is an apocalyptic number.

It is an amenable number.

420220401 is a deficient number, since it is larger than the sum of its proper divisors (143670927).

420220401 is a wasteful number, since it uses less digits than its factorization.

420220401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420220401 is about 20499.2780604586. The cubic root of 420220401 is about 749.0182122401.

Adding to 420220401 its reverse (104022024), we get a palindrome (524242425).

The spelling of 420220401 in words is "four hundred twenty million, two hundred twenty thousand, four hundred one".

Divisors: 1 3 311 461 933 977 1383 2931 143371 303847 430113 450397 911541 1351191 140073467 420220401