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25120 = 255157

25120 has 24 divisors (see below), whose sum is σ = 59724. Its totient is φ = 9984.

The previous prime is 25117. The next prime is 25121. The reversal of 25120 is 2152.

25120 = T25 + T26 + ... + T54.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 784 = 156^2 + 28^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 25097 and 25106.

It is not an unprimeable number, because it can be changed into a prime (25121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82 + ... + 238.

225120 is an apocalyptic number.

25120 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 25120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29862).

25120 is an abundant number, since it is smaller than the sum of its proper divisors (34604).

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

25120 is a wasteful number, since it uses less digits than its factorization.

25120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 25120 is about 158.4929020493. The cubic root of 25120 is about 29.2868870101.

Adding to 25120 its reverse (2152), we get a palindrome (27272).

The spelling of 25120 in words is "twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120