Search a number
-
+
420210234 = 23371127863
BaseRepresentation
bin11001000010111…
…110011000111010
31002021200220002000
4121002332120322
51330033211414
6105410321430
713261504503
oct3102763072
91067626060
10420210234
111a621a194
12b8889276
1369099612
143db45baa
1526d56b09
hex190be63a

420210234 has 64 divisors (see below), whose sum is σ = 955514880. Its totient is φ = 136851120.

The previous prime is 420210223. The next prime is 420210257. The reversal of 420210234 is 432012024.

420210234 is a `hidden beast` number, since 420 + 2 + 10 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486487 + ... + 487349.

It is an arithmetic number, because the mean of its divisors is an integer number (14929920).

Almost surely, 2420210234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420210234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477757440).

420210234 is an abundant number, since it is smaller than the sum of its proper divisors (535304646).

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

420210234 is a wasteful number, since it uses less digits than its factorization.

420210234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420210234 is about 20499.0300746157. The cubic root of 420210234 is about 749.0121714977.

Adding to 420210234 its reverse (432012024), we get a palindrome (852222258).

The spelling of 420210234 in words is "four hundred twenty million, two hundred ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 71 127 142 213 254 381 426 639 762 863 1143 1278 1726 1917 2286 2589 3429 3834 5178 6858 7767 9017 15534 18034 23301 27051 46602 54102 61273 81153 109601 122546 162306 183819 219202 243459 328803 367638 486918 551457 657606 986409 1102914 1654371 1972818 2959227 3308742 5918454 7781671 15563342 23345013 46690026 70035039 140070078 210105117 420210234