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420130424 = 23729614241
BaseRepresentation
bin11001000010101…
…010111001111000
31002021112211121002
4121002222321320
51330023133144
6105404504132
713261023020
oct3102527170
91067484532
10420130424
111a617522a
12b884b048
136906c1ac
143db24a80
1526d3d14e
hex190aae78

420130424 has 64 divisors (see below), whose sum is σ = 946814400. Its totient is φ = 170956800.

The previous prime is 420130423. The next prime is 420130427. The reversal of 420130424 is 424031024.

It is a junction number, because it is equal to n+sod(n) for n = 420130396 and 420130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420130423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96944 + ... + 101184.

It is an arithmetic number, because the mean of its divisors is an integer number (14793975).

Almost surely, 2420130424 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 420130424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473407200).

420130424 is an abundant number, since it is smaller than the sum of its proper divisors (526683976).

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

420130424 is a wasteful number, since it uses less digits than its factorization.

420130424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4340 counting only the distinct ones).

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

The square root of 420130424 is about 20497.0833047046. The cubic root of 420130424 is about 748.9647488494.

Adding to 420130424 its reverse (424031024), we get a palindrome (844161448).

The spelling of 420130424 in words is "four hundred twenty million, one hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 61 116 122 203 232 244 406 427 488 812 854 1624 1708 1769 3416 3538 4241 7076 8482 12383 14152 16964 24766 29687 33928 49532 59374 99064 118748 122989 237496 245978 258701 491956 517402 860923 983912 1034804 1721846 1810907 2069608 3443692 3621814 6887384 7243628 7502329 14487256 15004658 30009316 52516303 60018632 105032606 210065212 420130424