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20252520 = 23325101557
BaseRepresentation
bin100110101000…
…0011101101000
31102002221020100
41031100131220
520141040040
62002025400
7334100151
oct115203550
942087210
1020252520
1110483022
126948260
134271352
142992928
151ba0b30
hex1350768

20252520 has 96 divisors (see below), whose sum is σ = 66591720. Its totient is φ = 5337600.

The previous prime is 20252509. The next prime is 20252521. The reversal of 20252520 is 2525202.

It can be written as a sum of positive squares in 4 ways, for example, as 16990884 + 3261636 = 4122^2 + 1806^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20252493 and 20252502.

It is not an unprimeable number, because it can be changed into a prime (20252521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36082 + ... + 36638.

Almost surely, 220252520 is an apocalyptic number.

20252520 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 20252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33295860).

20252520 is an abundant number, since it is smaller than the sum of its proper divisors (46339200).

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

20252520 is a wasteful number, since it uses less digits than its factorization.

20252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 20252520 is about 4500.2799912894. The cubic root of 20252520 is about 272.5793949840.

Adding to 20252520 its reverse (2525202), we get a palindrome (22777722).

The spelling of 20252520 in words is "twenty million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 557 606 808 909 1010 1114 1212 1515 1671 1818 2020 2228 2424 2785 3030 3342 3636 4040 4456 4545 5013 5570 6060 6684 7272 8355 9090 10026 11140 12120 13368 16710 18180 20052 22280 25065 33420 36360 40104 50130 56257 66840 100260 112514 168771 200520 225028 281285 337542 450056 506313 562570 675084 843855 1012626 1125140 1350168 1687710 2025252 2250280 2531565 3375420 4050504 5063130 6750840 10126260 20252520