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51360 = 2535107
BaseRepresentation
bin1100100010100000
32121110020
430202200
53120420
61033440
7302511
oct144240
977406
1051360
1135651
1225880
131a4ba
1414a08
1510340
hexc8a0

51360 has 48 divisors (see below), whose sum is σ = 163296. Its totient is φ = 13568.

The previous prime is 51349. The next prime is 51361. The reversal of 51360 is 6315.

51360 is a nontrivial binomial coefficient, being equal to C(321, 2).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (51361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

251360 is an apocalyptic number.

51360 is the 320-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

51360 is an abundant number, since it is smaller than the sum of its proper divisors (111936).

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

51360 is a wasteful number, since it uses less digits than its factorization.

51360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51360 is about 226.6274475874. The cubic root of 51360 is about 37.1713503541.

Adding to 51360 its reverse (6315), we get a palindrome (57675).

The spelling of 51360 in words is "fifty-one thousand, three hundred sixty".