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420420441 = 37210726729
BaseRepresentation
bin11001000011110…
…001101101011001
31002022002120102110
4121003301231121
51330111423231
6105415022533
713263341400
oct3103615531
91068076373
10420420441
111a6353111
12b896aa49
13691411bc
143db9c637
1526d99046
hex190f1b59

420420441 has 24 divisors (see below), whose sum is σ = 658199520. Its totient is φ = 237986112.

The previous prime is 420420439. The next prime is 420420443. The reversal of 420420441 is 144024024.

It is an interprime number because it is at equal distance from previous prime (420420439) and next prime (420420443).

It is not a de Polignac number, because 420420441 - 21 = 420420439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (420420443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365 + ... + 29093.

It is an arithmetic number, because the mean of its divisors is an integer number (27424980).

Almost surely, 2420420441 is an apocalyptic number.

It is an amenable number.

420420441 is a deficient number, since it is larger than the sum of its proper divisors (237779079).

420420441 is a wasteful number, since it uses less digits than its factorization.

420420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26853 (or 26846 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420420441 is about 20504.1566761474. The cubic root of 420420441 is about 749.1370465738.

Adding to 420420441 its reverse (144024024), we get a palindrome (564444465).

The spelling of 420420441 in words is "four hundred twenty million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 3 7 21 49 107 147 321 749 2247 5243 15729 26729 80187 187103 561309 1309721 2860003 3929163 8580009 20020021 60060063 140140147 420420441