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420415230 = 235411392459
BaseRepresentation
bin11001000011110…
…000011011111110
31002022002022021110
4121003300123332
51330111241410
6105414542450
713263320244
oct3103603376
91068068243
10420415230
111a634a204
12b8967a26
136913ba11
143db9a794
1526d97720
hex190f06fe

420415230 has 64 divisors (see below), whose sum is σ = 1041465600. Its totient is φ = 108545280.

The previous prime is 420415199. The next prime is 420415241. The reversal of 420415230 is 32514024.

It is a junction number, because it is equal to n+sod(n) for n = 420415197 and 420415206.

It is a congruent number.

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, 169741 + ... + 172199.

It is an arithmetic number, because the mean of its divisors is an integer number (16272900).

Almost surely, 2420415230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420415230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

420415230 is an abundant number, since it is smaller than the sum of its proper divisors (621050370).

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

420415230 is a wasteful number, since it uses less digits than its factorization.

420415230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649.

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

The square root of 420415230 is about 20504.0296039583. The cubic root of 420415230 is about 749.1339514426.

Adding to 420415230 its reverse (32514024), we get a palindrome (452929254).

The spelling of 420415230 in words is "four hundred twenty million, four hundred fifteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 139 205 246 278 410 417 615 695 834 1230 1390 2085 2459 4170 4918 5699 7377 11398 12295 14754 17097 24590 28495 34194 36885 56990 73770 85485 100819 170970 201638 302457 341801 504095 604914 683602 1008190 1025403 1512285 1709005 2050806 3024570 3418010 5127015 10254030 14013841 28027682 42041523 70069205 84083046 140138410 210207615 420415230