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420430300 = 225261157439
BaseRepresentation
bin11001000011110…
…100000111011100
31002022010001221121
4121003310013130
51330112232200
6105415140324
713263412213
oct3103640734
91068101847
10420430300
111a635a564
12b89746a4
1369145834
143dba207a
1526d9be1a
hex190f41dc

420430300 has 72 divisors (see below), whose sum is σ = 935322080. Its totient is φ = 163987200.

The previous prime is 420430289. The next prime is 420430303. The reversal of 420430300 is 3034024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420430303) 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, 957481 + ... + 957919.

Almost surely, 2420430300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467661040).

420430300 is an abundant number, since it is smaller than the sum of its proper divisors (514891780).

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

420430300 is a wasteful number, since it uses less digits than its factorization.

420430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 420430300 is about 20504.3970894050. The cubic root of 420430300 is about 749.1429023661.

Adding to 420430300 its reverse (3034024), we get a palindrome (423464324).

The spelling of 420430300 in words is "four hundred twenty million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 157 244 305 314 439 610 628 785 878 1220 1525 1570 1756 2195 3050 3140 3925 4390 6100 7850 8780 9577 10975 15700 19154 21950 26779 38308 43900 47885 53558 68923 95770 107116 133895 137846 191540 239425 267790 275692 344615 478850 535580 669475 689230 957700 1338950 1378460 1723075 2677900 3446150 4204303 6892300 8408606 16817212 21021515 42043030 84086060 105107575 210215150 420430300