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424104120 = 2333511291231
BaseRepresentation
bin11001010001110…
…101000010111000
31002120000201111000
4121101311002320
51332032312440
6110030005000
713336553106
oct3121650270
91076021430
10424104120
111a8439780
12ba046760
1369b30aab
144047ac76
1527375730
hex194750b8

424104120 has 256 divisors, whose sum is σ = 1596672000. Its totient is φ = 99187200.

The previous prime is 424104113. The next prime is 424104127. The reversal of 424104120 is 21401424.

It is an interprime number because it is at equal distance from previous prime (424104113) and next prime (424104127).

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

It is a junction number, because it is equal to n+sod(n) for n = 424104093 and 424104102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424104127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343905 + ... + 345135.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2424104120 is an apocalyptic number.

424104120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

424104120 is an abundant number, since it is smaller than the sum of its proper divisors (1172567880).

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

424104120 is a wasteful number, since it uses less digits than its factorization.

424104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 424104120 is about 20593.7883838793. The cubic root of 424104120 is about 751.3186402252.

Adding to 424104120 its reverse (21401424), we get a palindrome (445505544).

The spelling of 424104120 in words is "four hundred twenty-four million, one hundred four thousand, one hundred twenty".