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56683220 = 225111012551
BaseRepresentation
bin1101100000111…
…0101011010100
310221122210202112
43120032223110
5104002330340
65342530152
71255541126
oct330165324
9127583675
1056683220
1129aa5a40
1216b96958
13b988389
147757216
154e9a065
hex360ead4

56683220 has 48 divisors (see below), whose sum is σ = 131193216. Its totient is φ = 20400000.

The previous prime is 56683217. The next prime is 56683229. The reversal of 56683220 is 2238665.

56683220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56683229) 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, 20945 + ... + 23495.

It is an arithmetic number, because the mean of its divisors is an integer number (2733192).

Almost surely, 256683220 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 56683220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65596608).

56683220 is an abundant number, since it is smaller than the sum of its proper divisors (74509996).

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

56683220 is a wasteful number, since it uses less digits than its factorization.

56683220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 56683220 is about 7528.8259376878. The cubic root of 56683220 is about 384.1358478411.

It can be divided in two parts, 5668 and 3220, that added together give a palindrome (8888).

The spelling of 56683220 in words is "fifty-six million, six hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2551 4444 5102 5555 10204 11110 12755 22220 25510 28061 51020 56122 112244 140305 257651 280610 515302 561220 1030604 1288255 2576510 2834161 5153020 5668322 11336644 14170805 28341610 56683220