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561782640 = 24354315431
BaseRepresentation
bin100001011111000…
…001111101110000
31110011002111220110
4201133001331300
52122304021030
6131424541320
716631034156
oct4137017560
91404074813
10561782640
11269125681
12138181840
138c507583
14548793d6
15344be1b0
hex217c1f70

561782640 has 80 divisors (see below), whose sum is σ = 1745888256. Its totient is φ = 149433600.

The previous prime is 561782623. The next prime is 561782653. The reversal of 561782640 is 46287165.

561782640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100725 + ... + 106155.

Almost surely, 2561782640 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 561782640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872944128).

561782640 is an abundant number, since it is smaller than the sum of its proper divisors (1184105616).

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

561782640 is a wasteful number, since it uses less digits than its factorization.

561782640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 561782640 is about 23701.9543497999. The cubic root of 561782640 is about 825.1307487907.

The spelling of 561782640 in words is "five hundred sixty-one million, seven hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 431 862 1293 1724 2155 2586 3448 4310 5172 5431 6465 6896 8620 10344 10862 12930 16293 17240 20688 21724 25860 27155 32586 34480 43448 51720 54310 65172 81465 86896 103440 108620 130344 162930 217240 260688 325860 434480 651720 1303440 2340761 4681522 7022283 9363044 11703805 14044566 18726088 23407610 28089132 35111415 37452176 46815220 56178264 70222830 93630440 112356528 140445660 187260880 280891320 561782640