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424103420 = 2251317229419
BaseRepresentation
bin11001010001110…
…100110111111100
31002120000200112002
4121101310313330
51332032302140
6110030001432
713336551056
oct3121646774
91076020462
10424103420
111a84391a4
12ba046278
1369b30690
144047a8d6
1527375415
hex19474dfc

424103420 has 96 divisors (see below), whose sum is σ = 1022414400. Its totient is φ = 146386944.

The previous prime is 424103401. The next prime is 424103429. The reversal of 424103420 is 24301424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 424103392 and 424103401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424103429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1011971 + ... + 1012389.

It is an arithmetic number, because the mean of its divisors is an integer number (10650150).

Almost surely, 2424103420 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 424103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511207200).

424103420 is an abundant number, since it is smaller than the sum of its proper divisors (598310980).

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

424103420 is a wasteful number, since it uses less digits than its factorization.

424103420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 424103420 is about 20593.7713884563. The cubic root of 424103420 is about 751.3182268650.

Adding to 424103420 its reverse (24301424), we get a palindrome (448404844).

The spelling of 424103420 in words is "four hundred twenty-four million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 229 260 340 419 442 458 838 884 916 1105 1145 1676 2095 2210 2290 2977 3893 4190 4420 4580 5447 5954 7123 7786 8380 10894 11908 14246 14885 15572 19465 21788 27235 28492 29770 35615 38930 50609 54470 59540 71230 77860 92599 95951 101218 108940 142460 185198 191902 202436 253045 370396 383804 462995 479755 506090 925990 959510 1012180 1247363 1631167 1851980 1919020 2494726 3262334 4989452 6236815 6524668 8155835 12473630 16311670 21205171 24947260 32623340 42410342 84820684 106025855 212051710 424103420