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505780940 = 22573174337
BaseRepresentation
bin11110001001011…
…001101011001100
31022020201100000102
4132021121223030
52013434442230
6122104350232
715351032000
oct3611315314
91266640012
10505780940
1123a555785
12121475378
1380a2a482
144b25c700
152e60b045
hex1e259acc

505780940 has 96 divisors (see below), whose sum is σ = 1311811200. Its totient is φ = 163172352.

The previous prime is 505780907. The next prime is 505780949. The reversal of 505780940 is 49087505.

It is a junction number, because it is equal to n+sod(n) for n = 505780894 and 505780903.

It is not an unprimeable number, because it can be changed into a prime (505780949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114452 + ... + 118788.

It is an arithmetic number, because the mean of its divisors is an integer number (13664700).

Almost surely, 2505780940 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 505780940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655905600).

505780940 is an abundant number, since it is smaller than the sum of its proper divisors (806030260).

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

505780940 is a wasteful number, since it uses less digits than its factorization.

505780940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 505780940 is about 22489.5740288695. The cubic root of 505780940 is about 796.7477023673.

The spelling of 505780940 in words is "five hundred five million, seven hundred eighty thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 595 686 833 980 1190 1372 1666 1715 2380 3332 3430 4165 4337 5831 6860 8330 8674 11662 16660 17348 21685 23324 29155 30359 43370 58310 60718 73729 86740 116620 121436 147458 151795 212513 294916 303590 368645 425026 516103 607180 737290 850052 1032206 1062565 1474580 1487591 2064412 2125130 2580515 2975182 3612721 4250260 5161030 5950364 7225442 7437955 10322060 14450884 14875910 18063605 25289047 29751820 36127210 50578094 72254420 101156188 126445235 252890470 505780940