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420127416 = 23325835103
BaseRepresentation
bin11001000010101…
…010001010111000
31002021112200110200
4121002222022320
51330023034131
6105404442200
713261011162
oct3102521270
91067480420
10420127416
111a6172a45
12b8849360
136906aa07
143db23932
1526d3c2e6
hex190aa2b8

420127416 has 24 divisors (see below), whose sum is σ = 1137845280. Its totient is φ = 140042448.

The previous prime is 420127399. The next prime is 420127417. The reversal of 420127416 is 614721024.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420127416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420127417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2917480 + ... + 2917623.

It is an arithmetic number, because the mean of its divisors is an integer number (47410220).

Almost surely, 2420127416 is an apocalyptic number.

It is an amenable number.

420127416 is an abundant number, since it is smaller than the sum of its proper divisors (717717864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420127416 is a wasteful number, since it uses less digits than its factorization.

420127416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835115 (or 5835108 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420127416 is about 20497.0099282798. The cubic root of 420127416 is about 748.9629613955.

The spelling of 420127416 in words is "four hundred twenty million, one hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5835103 11670206 17505309 23340412 35010618 46680824 52515927 70021236 105031854 140042472 210063708 420127416