Search a number
-
+
420431460 = 22357007191
BaseRepresentation
bin11001000011110…
…100011001100100
31002022010010112120
4121003310121210
51330112301320
6105415145540
713263415461
oct3103643144
91068103476
10420431460
111a6360419
12b89752b0
1369146217
143dba2668
1526d9c440
hex190f4664

420431460 has 24 divisors (see below), whose sum is σ = 1177208256. Its totient is φ = 112115040.

The previous prime is 420431423. The next prime is 420431503. The reversal of 420431460 is 64134024.

It is a super-2 number, since 2×4204314602 = 353525225115463200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420431460.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3503536 + ... + 3503655.

It is an arithmetic number, because the mean of its divisors is an integer number (49050344).

Almost surely, 2420431460 is an apocalyptic number.

It is an amenable number.

420431460 is an abundant number, since it is smaller than the sum of its proper divisors (756776796).

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

420431460 is a wasteful number, since it uses less digits than its factorization.

420431460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007203 (or 7007201 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420431460 is about 20504.4253760012. The cubic root of 420431460 is about 749.1435913467.

Adding to 420431460 its reverse (64134024), we get a palindrome (484565484).

The spelling of 420431460 in words is "four hundred twenty million, four hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7007191 14014382 21021573 28028764 35035955 42043146 70071910 84086292 105107865 140143820 210215730 420431460