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20025 = 325289
BaseRepresentation
bin100111000111001
31000110200
410320321
51120100
6232413
7112245
oct47071
930420
1020025
1114055
12b709
139165
147425
155e00
hex4e39

20025 has 18 divisors (see below), whose sum is σ = 36270. Its totient is φ = 10560.

The previous prime is 20023. The next prime is 20029. The reversal of 20025 is 52002.

Adding to 20025 its reverse (52002), we get a palindrome (72027).

It can be divided in two parts, 200 and 25, that added together give a square (225 = 152).

20025 is nontrivially palindromic in base 2.

20025 is digitally balanced in base 4, 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 3 ways, for example, as 144 + 19881 = 12^2 + 141^2 .

It is not a de Polignac number, because 20025 - 21 = 20023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19989 and 20016.

It is not an unprimeable number, because it can be changed into a prime (20021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 181 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (2015).

220025 is an apocalyptic number.

20025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20025 is a deficient number, since it is larger than the sum of its proper divisors (16245).

20025 is a wasteful number, since it uses less digits than its factorization.

20025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 20025 is about 141.5097169808. The cubic root of 20025 is about 27.1554815301.

The spelling of 20025 in words is "twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 4005 6675 20025