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56160 = 2533513
BaseRepresentation
bin1101101101100000
32212001000
431231200
53244120
61112000
7322506
oct155540
985030
1056160
1139215
1228600
131c740
1416676
1511990
hexdb60

56160 has 96 divisors (see below), whose sum is σ = 211680. Its totient is φ = 13824.

The previous prime is 56149. The next prime is 56167. The reversal of 56160 is 6165.

It can be divided in two parts, 56 and 160, that added together give a cube (216 = 63).

56160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56167) by changing a digit.

56160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4314 + ... + 4326.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

256160 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 56160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

56160 is an abundant number, since it is smaller than the sum of its proper divisors (155520).

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

56160 is a wasteful number, since it uses less digits than its factorization.

56160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56160 is about 236.9810118976. The cubic root of 56160 is about 38.2950257932.

The spelling of 56160 in words is "fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 65 72 78 80 90 96 104 108 117 120 130 135 144 156 160 180 195 208 216 234 240 260 270 288 312 351 360 390 416 432 468 480 520 540 585 624 702 720 780 864 936 1040 1080 1170 1248 1404 1440 1560 1755 1872 2080 2160 2340 2808 3120 3510 3744 4320 4680 5616 6240 7020 9360 11232 14040 18720 28080 56160