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56110120 = 23511211593
BaseRepresentation
bin1101011000001…
…0110000101000
310220120200121121
43112002300220
5103331010440
65322345024
71250633233
oct326026050
9126520547
1056110120
1129744400
121695b174
13b817571
14764841a
154dd534a
hex3582c28

56110120 has 48 divisors (see below), whose sum is σ = 138780180. Its totient is φ = 20401920.

The previous prime is 56110091. The next prime is 56110123. The reversal of 56110120 is 2101165.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53670276 + 2439844 = 7326^2 + 1562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56110094 and 56110103.

It is not an unprimeable number, because it can be changed into a prime (56110123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957 + ... + 10636.

Almost surely, 256110120 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 56110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69390090).

56110120 is an abundant number, since it is smaller than the sum of its proper divisors (82670060).

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

56110120 is a wasteful number, since it uses less digits than its factorization.

56110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626 (or 11611 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 56110120 is about 7490.6688619909. The cubic root of 56110120 is about 382.8368485249.

Adding to 56110120 its reverse (2101165), we get a palindrome (58211285).

The spelling of 56110120 in words is "fifty-six million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 11593 23186 46372 57965 92744 115930 127523 231860 255046 463720 510092 637615 1020184 1275230 1402753 2550460 2805506 5100920 5611012 7013765 11222024 14027530 28055060 56110120