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56681190 = 23253891619
BaseRepresentation
bin1101100000111…
…0001011100110
310221122200222100
43120032023212
5104002244230
65342512530
71255532166
oct330161346
9127580870
1056681190
1129aa4465
1216b95746
13b987487
1477565a6
154e99660
hex360e2e6

56681190 has 48 divisors (see below), whose sum is σ = 147841200. Its totient is φ = 15066816.

The previous prime is 56681189. The next prime is 56681203. The reversal of 56681190 is 9118665.

56681190 is a `hidden beast` number, since 566 + 8 + 1 + 1 + 90 = 666.

56681190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×566811902 = 6425514599632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34201 + ... + 35819.

It is an arithmetic number, because the mean of its divisors is an integer number (3080025).

Almost surely, 256681190 is an apocalyptic number.

56681190 is an abundant number, since it is smaller than the sum of its proper divisors (91160010).

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

56681190 is a wasteful number, since it uses less digits than its factorization.

56681190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56681190 is about 7528.6911213039. The cubic root of 56681190 is about 384.1312620919.

The spelling of 56681190 in words is "fifty-six million, six hundred eighty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 389 778 1167 1619 1945 2334 3238 3501 3890 4857 5835 7002 8095 9714 11670 14571 16190 17505 24285 29142 35010 48570 72855 145710 629791 1259582 1889373 3148955 3778746 5668119 6297910 9446865 11336238 18893730 28340595 56681190