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630684540 = 2232547127587
BaseRepresentation
bin100101100101110…
…111101101111100
31121221202002112200
4211211313231330
52242423401130
6142325431500
721425505303
oct4545675574
91557662480
10630684540
112a40066a2
1215726b590
13a0880325
145da9343a
153a57e760
hex25977b7c

630684540 has 144 divisors (see below), whose sum is σ = 1972518912. Its totient is φ = 163029888.

The previous prime is 630684503. The next prime is 630684559. The reversal of 630684540 is 45486036.

630684540 is a `hidden beast` number, since 6 + 30 + 6 + 84 + 540 = 666.

630684540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630684495 and 630684504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074127 + ... + 1074713.

It is an arithmetic number, because the mean of its divisors is an integer number (13698048).

Almost surely, 2630684540 is an apocalyptic number.

630684540 is a gapful number since it is divisible by the number (60) 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 630684540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986259456).

630684540 is an abundant number, since it is smaller than the sum of its proper divisors (1341834372).

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

630684540 is a wasteful number, since it uses less digits than its factorization.

630684540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 630684540 is about 25113.4334570166. The cubic root of 630684540 is about 857.5722679334.

The spelling of 630684540 in words is "six hundred thirty million, six hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 127 141 180 188 235 254 282 381 423 470 508 564 587 635 705 762 846 940 1143 1174 1270 1410 1524 1692 1761 1905 2115 2286 2348 2540 2820 2935 3522 3810 4230 4572 5283 5715 5870 5969 7044 7620 8460 8805 10566 11430 11740 11938 17610 17907 21132 22860 23876 26415 27589 29845 35220 35814 52830 53721 55178 59690 71628 74549 82767 89535 105660 107442 110356 119380 137945 149098 165534 179070 214884 223647 248301 268605 275890 298196 331068 358140 372745 413835 447294 496602 537210 551780 670941 745490 827670 894588 993204 1074420 1118235 1241505 1341882 1490980 1655340 2236470 2483010 2683764 3354705 3503803 4472940 4966020 6709410 7007606 10511409 13418820 14015212 17519015 21022818 31534227 35038030 42045636 52557045 63068454 70076060 105114090 126136908 157671135 210228180 315342270 630684540