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420214431 = 37131981013
BaseRepresentation
bin11001000010111…
…111011010011111
31002021201002211110
4121002333122133
51330033330211
6105410353103
713261522650
oct3102773237
91067632743
10420214431
111a622235a
12b888b793
136909b4c0
143db47527
1526d57ea6
hex190bf69f

420214431 has 32 divisors (see below), whose sum is σ = 725885440. Its totient is φ = 209983104.

The previous prime is 420214409. The next prime is 420214471. The reversal of 420214431 is 134412024.

It is not a de Polignac number, because 420214431 - 26 = 420214367 is a prime.

It is a super-2 number, since 2×4202144312 = 353160336041307522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 420214398 and 420214407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420214471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35320 + ... + 45693.

It is an arithmetic number, because the mean of its divisors is an integer number (22683920).

Almost surely, 2420214431 is an apocalyptic number.

420214431 is a deficient number, since it is larger than the sum of its proper divisors (305671009).

420214431 is a wasteful number, since it uses less digits than its factorization.

420214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81055.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 420214431 is about 20499.1324450573. The cubic root of 420214431 is about 749.0146651650.

Adding to 420214431 its reverse (134412024), we get a palindrome (554626455).

The spelling of 420214431 in words is "four hundred twenty million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 81013 243039 567091 1053169 1539247 1701273 3159507 4617741 7372183 10774729 20010211 22116549 32324187 60030633 140071477 420214431