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505440420 = 223529793677
BaseRepresentation
bin11110001000000…
…110100010100100
31022020002000220120
4132020012202210
52013343043140
6122053201540
715345113142
oct3610064244
91266060816
10505440420
1123a342961
121213302b0
138093b494
144b1b0592
152e5901d0
hex1e2068a4

505440420 has 96 divisors (see below), whose sum is σ = 1482969600. Its totient is φ = 128454144.

The previous prime is 505440401. The next prime is 505440421. The reversal of 505440420 is 24044505.

It is not an unprimeable number, because it can be changed into a prime (505440421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135622 + ... + 139298.

It is an arithmetic number, because the mean of its divisors is an integer number (15447600).

Almost surely, 2505440420 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 505440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741484800).

505440420 is an abundant number, since it is smaller than the sum of its proper divisors (977529180).

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

505440420 is a wasteful number, since it uses less digits than its factorization.

505440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 505440420 is about 22482.0021350413. The cubic root of 505440420 is about 796.5688571957.

Adding to 505440420 its reverse (24044505), we get a palindrome (529484925).

The spelling of 505440420 in words is "five hundred five million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 237 290 316 348 395 435 474 580 790 870 948 1185 1580 1740 2291 2370 3677 4582 4740 6873 7354 9164 11031 11455 13746 14708 18385 22062 22910 27492 34365 36770 44124 45820 55155 68730 73540 106633 110310 137460 213266 220620 290483 319899 426532 533165 580966 639798 871449 1066330 1161932 1279596 1452415 1599495 1742898 2132660 2904830 3198990 3485796 4357245 5809660 6397980 8424007 8714490 16848014 17428980 25272021 33696028 42120035 50544042 84240070 101088084 126360105 168480140 252720210 505440420