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56380060 = 22511298837
BaseRepresentation
bin1101011100010…
…0101010011100
310221002101220101
43113010222130
5103413130220
65332230444
71253136232
oct327045234
9127071811
1056380060
11299091a0
1216a6b424
13b8b03a9
1476b8952
154e3a30a
hex35c4a9c

56380060 has 48 divisors (see below), whose sum is σ = 133630560. Its totient is φ = 19792640.

The previous prime is 56380039. The next prime is 56380067. The reversal of 56380060 is 6008365.

56380060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×563800602 = 6357422331207200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56380067) 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, 1962 + ... + 10798.

It is an arithmetic number, because the mean of its divisors is an integer number (2783970).

Almost surely, 256380060 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 56380060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66815280).

56380060 is an abundant number, since it is smaller than the sum of its proper divisors (77250500).

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

56380060 is a wasteful number, since it uses less digits than its factorization.

56380060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8884 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56380060 is about 7508.6656604220. The cubic root of 56380060 is about 383.4497961611.

The spelling of 56380060 in words is "fifty-six million, three hundred eighty thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 8837 17674 35348 44185 88370 97207 176740 194414 256273 388828 486035 512546 972070 1025092 1281365 1944140 2562730 2819003 5125460 5638006 11276012 14095015 28190030 56380060