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420401212 = 227113493911
BaseRepresentation
bin11001000011101…
…101000000111100
31002022001121001021
4121003231000330
51330110314322
6105414353524
713263231340
oct3103550074
91068047037
10420401212
111a633a720
12b895b8a4
136913551a
143db95620
1526d934c7
hex190ed03c

420401212 has 48 divisors (see below), whose sum is σ = 920102400. Its totient is φ = 163281600.

The previous prime is 420401207. The next prime is 420401227. The reversal of 420401212 is 212104024.

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 15 ways as a sum of consecutive naturals, for example, 105537 + ... + 109447.

It is an arithmetic number, because the mean of its divisors is an integer number (19168800).

Almost surely, 2420401212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420401212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460051200).

420401212 is an abundant number, since it is smaller than the sum of its proper divisors (499701188).

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

420401212 is a wasteful number, since it uses less digits than its factorization.

420401212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 420401212 is about 20503.6877658630. The cubic root of 420401212 is about 749.1256251692.

Adding to 420401212 its reverse (212104024), we get a palindrome (632505236).

It can be divided in two parts, 4204012 and 12, that added together give a palindrome (4204024).

The spelling of 420401212 in words is "four hundred twenty million, four hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 349 698 1396 2443 3839 3911 4886 7678 7822 9772 15356 15644 26873 27377 43021 53746 54754 86042 107492 109508 172084 301147 602294 1204588 1364939 2729878 5459756 9554573 15014329 19109146 30028658 38218292 60057316 105100303 210200606 420401212