Search a number
-
+
420301125 = 3253547683
BaseRepresentation
bin11001000011010…
…100100101000101
31002021212111202100
4121003110211011
51330044114000
6105412302313
713262333466
oct3103244505
91067774670
10420301125
111a6281502
12b8911999
13690cbaba
143db6ad6d
1526d73a00
hex190d4945

420301125 has 48 divisors (see below), whose sum is σ = 760159296. Its totient is φ = 223423200.

The previous prime is 420301099. The next prime is 420301153. The reversal of 420301125 is 521103024.

It is not a de Polignac number, because 420301125 - 27 = 420300997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420301098 and 420301107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615034 + ... + 615716.

It is an arithmetic number, because the mean of its divisors is an integer number (15836652).

Almost surely, 2420301125 is an apocalyptic number.

420301125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420301125 is a deficient number, since it is larger than the sum of its proper divisors (339858171).

420301125 is a wasteful number, since it uses less digits than its factorization.

420301125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 420301125 is about 20501.2469132977. The cubic root of 420301125 is about 749.0661711007.

Adding to 420301125 its reverse (521103024), we get a palindrome (941404149).

The spelling of 420301125 in words is "four hundred twenty million, three hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 547 683 1125 1641 2049 2735 3415 4923 6147 8205 10245 13675 17075 24615 30735 41025 51225 68375 85375 123075 153675 205125 256125 373601 615375 768375 1120803 1868005 3362409 5604015 9340025 16812045 28020075 46700125 84060225 140100375 420301125