Search a number
-
+
52760 = 2351319
BaseRepresentation
bin1100111000011000
32200101002
430320120
53142020
61044132
7306551
oct147030
980332
1052760
1136704
1226648
131b026
1415328
1510975
hexce18

52760 has 16 divisors (see below), whose sum is σ = 118800. Its totient is φ = 21088.

The previous prime is 52757. The next prime is 52769. The reversal of 52760 is 6725.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52769) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 620 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

252760 is an apocalyptic number.

It is an amenable number.

52760 is an abundant number, since it is smaller than the sum of its proper divisors (66040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59400).

52760 is a wasteful number, since it uses less digits than its factorization.

52760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 52760 is about 229.6954505427. The cubic root of 52760 is about 37.5060730905.

The spelling of 52760 in words is "fifty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1319 2638 5276 6595 10552 13190 26380 52760