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25520 = 2451129
BaseRepresentation
bin110001110110000
31022000012
412032300
51304040
6314052
7134255
oct61660
938005
1025520
11181a0
1212928
13b801
14942c
157865
hex63b0

25520 has 40 divisors (see below), whose sum is σ = 66960. Its totient is φ = 8960.

The previous prime is 25471. The next prime is 25523. The reversal of 25520 is 2552.

25520 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

25520 is strictly pandigital in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 25495 and 25504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25523) 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 7 ways as a sum of consecutive naturals, for example, 866 + ... + 894.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

225520 is an apocalyptic number.

25520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480).

25520 is an abundant number, since it is smaller than the sum of its proper divisors (41440).

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

25520 is a wasteful number, since it uses less digits than its factorization.

25520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 25520 is about 159.7498043817. The cubic root of 25520 is about 29.4415196916.

It can be divided in two parts, 25 and 520, that added together give a palindrome (545).

The spelling of 25520 in words is "twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520