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406135221 = 31131816619
BaseRepresentation
bin11000001101010…
…010000110110101
31001022012210210020
4120031102012311
51312432311341
6104144515353
713031043462
oct3015220665
91038183706
10406135221
11199286448
12b401bb59
13661abccb
143bd20669
15259c6566
hex183521b5

406135221 has 16 divisors (see below), whose sum is σ = 549407040. Its totient is φ = 266837760.

The previous prime is 406135189. The next prime is 406135229. The reversal of 406135221 is 122531604.

It is not a de Polignac number, because 406135221 - 25 = 406135189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406135191 and 406135200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406135229) 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, 58050 + ... + 64668.

It is an arithmetic number, because the mean of its divisors is an integer number (34337940).

Almost surely, 2406135221 is an apocalyptic number.

It is an amenable number.

406135221 is a deficient number, since it is larger than the sum of its proper divisors (143271819).

406135221 is a wasteful number, since it uses less digits than its factorization.

406135221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 406135221 is about 20152.7968530425. The cubic root of 406135221 is about 740.5542603091.

Adding to 406135221 its reverse (122531604), we get a palindrome (528666825).

The spelling of 406135221 in words is "four hundred six million, one hundred thirty-five thousand, two hundred twenty-one".

Divisors: 1 3 113 181 339 543 6619 19857 20453 61359 747947 1198039 2243841 3594117 135378407 406135221