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51980 = 22523113
BaseRepresentation
bin1100101100001100
32122022012
430230030
53130410
61040352
7304355
oct145414
978265
1051980
1136065
12260b8
131a876
1414d2c
1510605
hexcb0c

51980 has 24 divisors (see below), whose sum is σ = 114912. Its totient is φ = 19712.

The previous prime is 51977. The next prime is 51991. The reversal of 51980 is 8915.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

251980 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 51980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456).

51980 is an abundant number, since it is smaller than the sum of its proper divisors (62932).

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

51980 is a wasteful number, since it uses less digits than its factorization.

51980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 51980 is about 227.9912279014. The cubic root of 51980 is about 37.3203256838.

Adding to 51980 its sum of digits (23), we get a triangular number (52003 = T322).

The spelling of 51980 in words is "fifty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 2260 2599 5198 10396 12995 25990 51980