Search a number
-
+
56520000 = 263254157
BaseRepresentation
bin1101011110011…
…0110101000000
310221100111212100
43113212311000
5103432120000
65335230400
71254261225
oct327466500
9127314770
1056520000
11299a4349
1216b18400
13b92bcb4
14771394c
154e66a00
hex35e6d40

56520000 has 210 divisors, whose sum is σ = 203730098. Its totient is φ = 14976000.

The previous prime is 56519989. The next prime is 56520029. The reversal of 56520000 is 2565.

56520000 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 5 ways, for example, as 28132416 + 28387584 = 5304^2 + 5328^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 359922 + ... + 360078.

Almost surely, 256520000 is an apocalyptic number.

56520000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101865049).

56520000 is an abundant number, since it is smaller than the sum of its proper divisors (147210098).

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

56520000 is a wasteful number, since it uses less digits than its factorization.

56520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

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

The square root of 56520000 is about 7517.9784516850. The cubic root of 56520000 is about 383.7667854739.

Adding to 56520000 its reverse (2565), we get a palindrome (56522565).

The spelling of 56520000 in words is "fifty-six million, five hundred twenty thousand".