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56780020 = 22511614231
BaseRepresentation
bin1101100010011…
…0010011110100
310221211201112201
43120212103310
5104013430040
65344554244
71256423263
oct330462364
9127751481
1056780020
112a061740
1217022984
13b9c045b
1477805da
154eb8a9a
hex36264f4

56780020 has 48 divisors (see below), whose sum is σ = 132241536. Its totient is φ = 20304000.

The previous prime is 56779997. The next prime is 56780027. The reversal of 56780020 is 2008765.

56780020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56780027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11305 + ... + 15535.

It is an arithmetic number, because the mean of its divisors is an integer number (2755032).

Almost surely, 256780020 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 56780020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66120768).

56780020 is an abundant number, since it is smaller than the sum of its proper divisors (75461516).

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

56780020 is a wasteful number, since it uses less digits than its factorization.

56780020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 56780020 is about 7535.2518206096. The cubic root of 56780020 is about 384.3543910778.

Adding to 56780020 its reverse (2008765), we get a palindrome (58788785).

The spelling of 56780020 in words is "fifty-six million, seven hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 4231 6710 8462 13420 16924 21155 42310 46541 84620 93082 186164 232705 258091 465410 516182 930820 1032364 1290455 2580910 2839001 5161820 5678002 11356004 14195005 28390010 56780020