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424124120 = 235712711927
BaseRepresentation
bin11001010001111…
…001111011011000
31002120001201220202
4121101321323120
51332033432440
6110030241332
713336665320
oct3121717330
91076051822
10424124120
111a8452802
12ba056248
1369b39c24
1440484280
152737b615
hex19479ed8

424124120 has 64 divisors (see below), whose sum is σ = 1099284480. Its totient is φ = 144256896.

The previous prime is 424124111. The next prime is 424124147. The reversal of 424124120 is 21421424.

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 = 424124092 and 424124101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29597 + ... + 41523.

It is an arithmetic number, because the mean of its divisors is an integer number (17176320).

Almost surely, 2424124120 is an apocalyptic number.

424124120 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 424124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549642240).

424124120 is an abundant number, since it is smaller than the sum of its proper divisors (675160360).

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

424124120 is a wasteful number, since it uses less digits than its factorization.

424124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072 (or 12068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 424124120 is about 20594.2739614680. The cubic root of 424124120 is about 751.3304503255.

Adding to 424124120 its reverse (21421424), we get a palindrome (445545544).

The spelling of 424124120 in words is "four hundred twenty-four million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 4445 5080 7112 8890 11927 17780 23854 35560 47708 59635 83489 95416 119270 166978 238540 333956 417445 477080 667912 834890 1514729 1669780 3029458 3339560 6058916 7573645 10603103 12117832 15147290 21206206 30294580 42412412 53015515 60589160 84824824 106031030 212062060 424124120