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420021823 = 13163379523
BaseRepresentation
bin11001000010010…
…000011000111111
31002021100022121211
4121002100120333
51330011144243
6105402305251
713260061264
oct3102203077
91067308554
10420021823
111a6100681
12b87b8227
1369031930
143dad726b
1526d1ad9d
hex1909063f

420021823 has 16 divisors (see below), whose sum is σ = 457179520. Its totient is φ = 383582304.

The previous prime is 420021803. The next prime is 420021827. The reversal of 420021823 is 328120024.

It is a cyclic number.

It is not a de Polignac number, because 420021823 - 213 = 420013631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420021794 and 420021803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420021827) 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, 802840 + ... + 803362.

It is an arithmetic number, because the mean of its divisors is an integer number (28573720).

Almost surely, 2420021823 is an apocalyptic number.

420021823 is a deficient number, since it is larger than the sum of its proper divisors (37157697).

420021823 is a wasteful number, since it uses less digits than its factorization.

420021823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 420021823 is about 20494.4339516855. The cubic root of 420021823 is about 748.9002091053.

Adding to 420021823 its reverse (328120024), we get a palindrome (748141847).

The spelling of 420021823 in words is "four hundred twenty million, twenty-one thousand, eight hundred twenty-three".

Divisors: 1 13 163 379 523 2119 4927 6799 61777 85249 198217 803101 1108237 2576821 32309371 420021823