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424403140 = 2257113139193
BaseRepresentation
bin11001010010111…
…110000011000100
31002120120220122211
4121102332003010
51332121400030
6110040233204
713342236640
oct3122760304
91076526584
10424403140
111a86233a7
12ba16b804
1369c06c25
1440517c20
15273d412a
hex194be0c4

424403140 has 96 divisors (see below), whose sum is σ = 1040336640. Its totient is φ = 142442496.

The previous prime is 424403131. The next prime is 424403141. The reversal of 424403140 is 41304424.

It is not an unprimeable number, because it can be changed into a prime (424403141) 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 31 ways as a sum of consecutive naturals, for example, 2198884 + ... + 2199076.

It is an arithmetic number, because the mean of its divisors is an integer number (10836840).

Almost surely, 2424403140 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 424403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520168320).

424403140 is an abundant number, since it is smaller than the sum of its proper divisors (615933500).

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

424403140 is a wasteful number, since it uses less digits than its factorization.

424403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 424403140 is about 20601.0470607685. The cubic root of 424403140 is about 751.4951743279.

Adding to 424403140 its reverse (41304424), we get a palindrome (465707564).

The spelling of 424403140 in words is "four hundred twenty-four million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 139 140 193 226 278 386 452 556 565 695 772 791 965 973 1130 1351 1390 1582 1930 1946 2260 2702 2780 3164 3860 3892 3955 4865 5404 6755 7910 9730 13510 15707 15820 19460 21809 26827 27020 31414 43618 53654 62828 78535 87236 107308 109045 109949 134135 152663 157070 187789 218090 219898 268270 305326 314140 375578 436180 439796 536540 549745 610652 751156 763315 938945 1099490 1526630 1877890 2198980 3031451 3053260 3755780 6062902 12125804 15157255 21220157 30314510 42440314 60629020 84880628 106100785 212201570 424403140