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504234540 = 2232519612417
BaseRepresentation
bin11110000011100…
…000001000101100
31022010210202202100
4132003200020230
52013041001130
6122011255100
715331631355
oct3603401054
91263722670
10504234540
11239699967
12120a4a490
1380608644
144ad78d2c
152e402c60
hex1e0e022c

504234540 has 144 divisors (see below), whose sum is σ = 1637082720. Its totient is φ = 125245440.

The previous prime is 504234529. The next prime is 504234551. The reversal of 504234540 is 45432405.

504234540 is a `hidden beast` number, since 50 + 42 + 34 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (504234529) and next prime (504234551).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 207412 + ... + 209828.

It is an arithmetic number, because the mean of its divisors is an integer number (11368630).

Almost surely, 2504234540 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 504234540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818541360).

504234540 is an abundant number, since it is smaller than the sum of its proper divisors (1132848180).

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

504234540 is a wasteful number, since it uses less digits than its factorization.

504234540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 504234540 is about 22455.1673340459. The cubic root of 504234540 is about 795.9348679484.

Adding to 504234540 its reverse (45432405), we get a palindrome (549666945).

The spelling of 504234540 in words is "five hundred four million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 855 915 1098 1140 1159 1220 1710 1830 2196 2318 2417 2745 3420 3477 3660 4636 4834 5490 5795 6954 7251 9668 10431 10980 11590 12085 13908 14502 17385 20862 21753 23180 24170 29004 34770 36255 41724 43506 45923 48340 52155 69540 72510 87012 91846 104310 108765 137769 145020 147437 183692 208620 217530 229615 275538 294874 413307 435060 442311 459230 551076 589748 688845 737185 826614 884622 918460 1326933 1377690 1474370 1653228 1769244 2066535 2211555 2653866 2755380 2801303 2948740 4133070 4423110 5307732 5602606 6634665 8266140 8403909 8846220 11205212 13269330 14006515 16807818 25211727 26538660 28013030 33615636 42019545 50423454 56026060 84039090 100846908 126058635 168078180 252117270 504234540