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20010825 = 325288937
BaseRepresentation
bin100110001010…
…1011101001001
31101122122200200
41030111131021
520110321300
61552522413
7332042412
oct114253511
941578620
1020010825
111032847a
126850409
1341b8333
14292c809
151b54200
hex1315749

20010825 has 18 divisors (see below), whose sum is σ = 35842014. Its totient is φ = 10672320.

The previous prime is 20010811. The next prime is 20010847. The reversal of 20010825 is 52801002.

It can be written as a sum of positive squares in 3 ways, for example, as 2143296 + 17867529 = 1464^2 + 4227^2 .

It is not a de Polignac number, because 20010825 - 29 = 20010313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20010798 and 20010807.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44244 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (1991223).

Almost surely, 220010825 is an apocalyptic number.

20010825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20010825 is a deficient number, since it is larger than the sum of its proper divisors (15831189).

20010825 is a wasteful number, since it uses less digits than its factorization.

20010825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88953 (or 88945 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20010825 is about 4473.3460630718. The cubic root of 20010825 is about 271.4907254445.

Adding to 20010825 its reverse (52801002), we get a palindrome (72811827).

It can be divided in two parts, 200 and 10825, that added together give a square (11025 = 1052).

The spelling of 20010825 in words is "twenty million, ten thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 88937 266811 444685 800433 1334055 2223425 4002165 6670275 20010825