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56112160 = 2551353509
BaseRepresentation
bin1101011000001…
…1010000100000
310220120210102011
43112003100200
5103331042120
65322402304
71250642206
oct326032040
9126523364
1056112160
1129745995
1216960394
13b818480
147649076
154dd5c5a
hex3583420

56112160 has 96 divisors (see below), whose sum is σ = 145741680. Its totient is φ = 20287488.

The previous prime is 56112151. The next prime is 56112163. The reversal of 56112160 is 6121165.

It can be written as a sum of positive squares in 8 ways, for example, as 29030544 + 27081616 = 5388^2 + 5204^2 .

It is not an unprimeable number, because it can be changed into a prime (56112163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109986 + ... + 110494.

Almost surely, 256112160 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 56112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72870840).

56112160 is an abundant number, since it is smaller than the sum of its proper divisors (89629520).

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

56112160 is a wasteful number, since it uses less digits than its factorization.

56112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 56112160 is about 7490.8050301687. The cubic root of 56112160 is about 382.8414880783.

It can be divided in two parts, 561 and 12160, that added together give a palindrome (12721).

The spelling of 56112160 in words is "fifty-six million, one hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 509 520 530 689 848 1018 1040 1060 1378 1696 2036 2080 2120 2545 2756 3445 4072 4240 5090 5512 6617 6890 8144 8480 10180 11024 13234 13780 16288 20360 22048 26468 26977 27560 33085 40720 52936 53954 55120 66170 81440 105872 107908 110240 132340 134885 211744 215816 264680 269770 350701 431632 529360 539540 701402 863264 1058720 1079080 1402804 1753505 2158160 2805608 3507010 4316320 5611216 7014020 11222432 14028040 28056080 56112160