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25780 = 2251289
BaseRepresentation
bin110010010110100
31022100211
412102310
51311110
6315204
7135106
oct62264
938324
1025780
1118407
1212b04
13b971
149576
15798a
hex64b4

25780 has 12 divisors (see below), whose sum is σ = 54180. Its totient is φ = 10304.

The previous prime is 25771. The next prime is 25793. The reversal of 25780 is 8752.

25780 = T14 + T15 + ... + T53.

25780 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 10404 = 124^2 + 102^2 .

25780 is strictly pandigital in base 6.

It is a nialpdrome in base 13.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 625 + ... + 664.

It is an arithmetic number, because the mean of its divisors is an integer number (4515).

225780 is an apocalyptic number.

25780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25780 is an abundant number, since it is smaller than the sum of its proper divisors (28400).

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 (27090).

25780 is a wasteful number, since it uses less digits than its factorization.

25780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 25780 is about 160.5615146914. The cubic root of 25780 is about 29.5411663133.

The spelling of 25780 in words is "twenty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 1289 2578 5156 6445 12890 25780