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56022120 = 233257114347
BaseRepresentation
bin1101010110110…
…1010001101000
310220102012220100
43111231101220
5103320201440
65320425400
71250115540
oct325552150
9126365810
1056022120
1129694280
1216918260
13b7b64ab
147624320
154db9230
hex356d468

56022120 has 384 divisors, whose sum is σ = 237219840. Its totient is φ = 11128320.

The previous prime is 56022101. The next prime is 56022121. The reversal of 56022120 is 2122065.

56022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 56022093 and 56022102.

It is not an unprimeable number, because it can be changed into a prime (56022121) 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 95 ways as a sum of consecutive naturals, for example, 1191937 + ... + 1191983.

It is an arithmetic number, because the mean of its divisors is an integer number (617760).

Almost surely, 256022120 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 56022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118609920).

56022120 is an abundant number, since it is smaller than the sum of its proper divisors (181197720).

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

56022120 is a wasteful number, since it uses less digits than its factorization.

56022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56022120 is about 7484.7925822965. The cubic root of 56022120 is about 382.6366037779.

Adding to 56022120 its reverse (2122065), we get a palindrome (58144185).

The spelling of 56022120 in words is "fifty-six million, twenty-two thousand, one hundred twenty".