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560 = 2457
BaseRepresentation
bin1000110000
3202202
420300
54220
62332
71430
oct1060
9682
10560
1146a
123a8
13341
142c0
15275
hex230

560 has 20 divisors (see below), whose sum is σ = 1488. Its totient is φ = 192.

The previous prime is 557. The next prime is 563. The reversal of 560 is 65.

Adding to 560 its reverse (65), we get a 4-th power (625 = 54).

It can be divided in two parts, 5 and 60, that multiplied together give a triangular number (300 = T24).

560 = T1 + T2 + ... + T14.

560 is nontrivially palindromic in base 3 and base 6.

560 is a nontrivial binomial coefficient, being equal to C(16, 3).

It is an interprime number because it is at equal distance from previous prime (557) and next prime (563).

It is a tau number, because it is divible by the number of its divisors (20).

560 is a Rhonda number in base 12.

It is a plaindrome in base 11.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (563) by changing a digit.

It is the 14-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 83.

560 is the 14-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744).

560 is an abundant number, since it is smaller than the sum of its proper divisors (928).

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

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

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

The sum of its prime factors is 20 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 560 is about 23.6643191324. The cubic root of 560 is about 8.2425705996.

The spelling of 560 in words is "five hundred sixty", and thus it is an aban number and an oban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560