Search a number
-
+
420504231 = 37217168269
BaseRepresentation
bin11001000100000…
…110001010100111
31002022020211100210
4121010012022213
51330122113411
6105420510503
713264140600
oct3104061247
91068224323
10420504231
111a6400064
12b89ab433
1369170394
143dbc0da7
1526db3ca6
hex191062a7

420504231 has 24 divisors (see below), whose sum is σ = 690580080. Its totient is φ = 226152192.

The previous prime is 420504229. The next prime is 420504307. The reversal of 420504231 is 132405024.

It is not a de Polignac number, because 420504231 - 21 = 420504229 is a prime.

It is a super-2 number, since 2×4205042312 = 353647616577802722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 420504198 and 420504207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420504211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81636 + ... + 86633.

It is an arithmetic number, because the mean of its divisors is an integer number (28774170).

Almost surely, 2420504231 is an apocalyptic number.

420504231 is a deficient number, since it is larger than the sum of its proper divisors (270075849).

420504231 is a wasteful number, since it uses less digits than its factorization.

420504231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168303 (or 168296 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420504231 is about 20506.1998185914. The cubic root of 420504231 is about 749.1868110614.

Adding to 420504231 its reverse (132405024), we get a palindrome (552909255).

The spelling of 420504231 in words is "four hundred twenty million, five hundred four thousand, two hundred thirty-one".

Divisors: 1 3 7 17 21 49 51 119 147 357 833 2499 168269 504807 1177883 2860573 3533649 8245181 8581719 20024011 24735543 60072033 140168077 420504231