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420406456 = 23411281727
BaseRepresentation
bin11001000011101…
…110010010111000
31002022001212020111
4121003232102320
51330111001311
6105414434104
713263252541
oct3103562270
91068055214
10420406456
111a6343658
12b8962934
1369137a22
143db974c8
1526d94d21
hex190ee4b8

420406456 has 16 divisors (see below), whose sum is σ = 807488640. Its totient is φ = 205076160.

The previous prime is 420406453. The next prime is 420406457. The reversal of 420406456 is 654604024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420406453) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640536 + ... + 641191.

It is an arithmetic number, because the mean of its divisors is an integer number (50468040).

Almost surely, 2420406456 is an apocalyptic number.

It is an amenable number.

420406456 is a deficient number, since it is larger than the sum of its proper divisors (387082184).

420406456 is a wasteful number, since it uses less digits than its factorization.

420406456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281774 (or 1281770 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 420406456 is about 20503.8156448989. The cubic root of 420406456 is about 749.1287399702.

The spelling of 420406456 in words is "four hundred twenty million, four hundred six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 41 82 164 328 1281727 2563454 5126908 10253816 52550807 105101614 210203228 420406456