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56120 = 2352361
BaseRepresentation
bin1101101100111000
32211222112
431230320
53243440
61111452
7322421
oct155470
984875
1056120
1139189
1228588
131c70c
1416648
1511965
hexdb38

56120 has 32 divisors (see below), whose sum is σ = 133920. Its totient is φ = 21120.

The previous prime is 56113. The next prime is 56123. The reversal of 56120 is 2165.

Adding to 56120 its reverse (2165), we get a palindrome (58285).

It is a junction number, because it is equal to n+sod(n) for n = 56095 and 56104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56120.

It is not an unprimeable number, because it can be changed into a prime (56123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

256120 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 56120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

56120 is an abundant number, since it is smaller than the sum of its proper divisors (77800).

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

56120 is a wasteful number, since it uses less digits than its factorization.

56120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 56120 is about 236.8966019174. The cubic root of 56120 is about 38.2859317473.

The spelling of 56120 in words is "fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 920 1220 1403 2440 2806 5612 7015 11224 14030 28060 56120