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56520 = 23325157
BaseRepresentation
bin1101110011001000
32212112100
431303020
53302040
61113400
7323532
oct156310
985470
1056520
1139512
1228860
131c959
1416852
1511b30
hexdcc8

56520 has 48 divisors (see below), whose sum is σ = 184860. Its totient is φ = 14976.

The previous prime is 56519. The next prime is 56527. The reversal of 56520 is 2565.

It can be divided in two parts, 565 and 20, that added together give a palindrome (585).

56520 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 2 ways, for example, as 54756 + 1764 = 234^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 56493 and 56502.

It is not an unprimeable number, because it can be changed into a prime (56527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 438.

256520 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 56520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92430).

56520 is an abundant number, since it is smaller than the sum of its proper divisors (128340).

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

56520 is a wasteful number, since it uses less digits than its factorization.

56520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 56520 is about 237.7393530739. The cubic root of 56520 is about 38.3766785474.

The spelling of 56520 in words is "fifty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520