Search a number
-
+
56130660 = 223252910753
BaseRepresentation
bin1101011000011…
…1110001100100
310220121201210100
43112013301210
5103332140120
65323024100
71251050145
oct326076144
9126551710
1056130660
1129758883
121696b030
13b823a11
147651acc
154ddb490
hex3587c64

56130660 has 72 divisors (see below), whose sum is σ = 176150520. Its totient is φ = 14450688.

The previous prime is 56130637. The next prime is 56130673. The reversal of 56130660 is 6603165.

56130660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18455616 + 37675044 = 4296^2 + 6138^2 .

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, 157 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (2446535).

Almost surely, 256130660 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 56130660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88075260).

56130660 is an abundant number, since it is smaller than the sum of its proper divisors (120019860).

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

56130660 is a wasteful number, since it uses less digits than its factorization.

56130660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56130660 is about 7492.0397756552. The cubic root of 56130660 is about 382.8835573274.

The spelling of 56130660 in words is "fifty-six million, one hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 10753 21506 32259 43012 53765 64518 96777 107530 129036 161295 193554 215060 311837 322590 387108 483885 623674 645180 935511 967770 1247348 1559185 1871022 1935540 2806533 3118370 3742044 4677555 5613066 6236740 9355110 11226132 14032665 18710220 28065330 56130660