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25620 = 2235761
BaseRepresentation
bin110010000010100
31022010220
412100110
51304440
6314340
7134460
oct62024
938126
1025620
1118281
12129b0
13b87a
1494a0
1578d0
hex6414

25620 has 48 divisors (see below), whose sum is σ = 83328. Its totient is φ = 5760.

The previous prime is 25609. The next prime is 25621. The reversal of 25620 is 2652.

It can be divided in two parts, 256 and 20, that added together give a triangular number (276 = T23).

25620 = T76 + T77 + ... + T83.

25620 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

225620 is an apocalyptic number.

25620 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 25620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

25620 is an abundant number, since it is smaller than the sum of its proper divisors (57708).

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

25620 is a wasteful number, since it uses less digits than its factorization.

25620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 25620 is about 160.0624877977. The cubic root of 25620 is about 29.4799250569.

The spelling of 25620 in words is "twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 12810 25620