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420916431 = 31369115619
BaseRepresentation
bin11001000101101…
…010110011001111
31002100000202210110
4121011222303033
51330223311211
6105433411103
713300505415
oct3105526317
91070022713
10420916431
111a6661821
12b8b69a93
1369285ba0
143dc8b2b5
1526e45ea6
hex1916accf

420916431 has 16 divisors (see below), whose sum is σ = 605306240. Its totient is φ = 258634080.

The previous prime is 420916423. The next prime is 420916487. The reversal of 420916431 is 134619024.

It is not a de Polignac number, because 420916431 - 23 = 420916423 is a prime.

It is a super-2 number, since 2×4209164312 = 354341283771555522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420916931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19140 + ... + 34758.

It is an arithmetic number, because the mean of its divisors is an integer number (37831640).

Almost surely, 2420916431 is an apocalyptic number.

420916431 is a deficient number, since it is larger than the sum of its proper divisors (184389809).

420916431 is a wasteful number, since it uses less digits than its factorization.

420916431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16326.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 420916431 is about 20516.2479756899. The cubic root of 420916431 is about 749.4315283399.

The spelling of 420916431 in words is "four hundred twenty million, nine hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 13 39 691 2073 8983 15619 26949 46857 203047 609141 10792729 32378187 140305477 420916431