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52720 = 245659
BaseRepresentation
bin1100110111110000
32200022121
430313300
53141340
61044024
7306463
oct146760
980277
1052720
1136678
1226614
131acc5
14152da
151094a
hexcdf0

52720 has 20 divisors (see below), whose sum is σ = 122760. Its totient is φ = 21056.

The previous prime is 52711. The next prime is 52721. The reversal of 52720 is 2725.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 52694 and 52703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52721) by changing a digit.

52720 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 3 ways as a sum of consecutive naturals, for example, 250 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

252720 is an apocalyptic number.

It is an amenable number.

52720 is an abundant number, since it is smaller than the sum of its proper divisors (70040).

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 (61380).

52720 is a wasteful number, since it uses less digits than its factorization.

52720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 52720 is about 229.6083622171. The cubic root of 52720 is about 37.4965922829.

The spelling of 52720 in words is "fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 659 1318 2636 3295 5272 6590 10544 13180 26360 52720