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420937460 = 22521046873
BaseRepresentation
bin11001000101101…
…111111011110100
31002100001211122022
4121011233323310
51330224444320
6105434052312
713300623626
oct3105577364
91070054568
10420937460
111a66765a9
12b8b7a098
1369292628
143dc94c16
1526e4c325
hex1916fef4

420937460 has 12 divisors (see below), whose sum is σ = 883968708. Its totient is φ = 168374976.

The previous prime is 420937403. The next prime is 420937463. The reversal of 420937460 is 64739024.

420937460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117202276 + 303735184 = 10826^2 + 17428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420937460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420937463) 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, 10523417 + ... + 10523456.

It is an arithmetic number, because the mean of its divisors is an integer number (73664059).

Almost surely, 2420937460 is an apocalyptic number.

It is an amenable number.

420937460 is an abundant number, since it is smaller than the sum of its proper divisors (463031248).

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

420937460 is a wasteful number, since it uses less digits than its factorization.

420937460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21046882 (or 21046880 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 420937460 is about 20516.7604655316. The cubic root of 420937460 is about 749.4440086741. Note that the first 3 decimals are identical.

The spelling of 420937460 in words is "four hundred twenty million, nine hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 21046873 42093746 84187492 105234365 210468730 420937460