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20009825 = 521172763
BaseRepresentation
bin100110001010…
…1001101100001
31101122121022122
41030111031201
520110303300
61552514025
7332036453
oct114251541
941577278
1020009825
1110327750
12684b915
1341b7a44
14292c2d3
151b53c85
hex1315361

20009825 has 12 divisors (see below), whose sum is σ = 27068208. Its totient is φ = 14552400.

The previous prime is 20009819. The next prime is 20009863. The reversal of 20009825 is 52890002.

It is not a de Polignac number, because 20009825 - 26 = 20009761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20009794 and 20009803.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36107 + ... + 36656.

It is an arithmetic number, because the mean of its divisors is an integer number (2255684).

Almost surely, 220009825 is an apocalyptic number.

20009825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20009825 is a deficient number, since it is larger than the sum of its proper divisors (7058383).

20009825 is a wasteful number, since it uses less digits than its factorization.

20009825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72784 (or 72779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 20009825 is about 4473.2342885210. The cubic root of 20009825 is about 271.4862029715.

Adding to 20009825 its reverse (52890002), we get a palindrome (72899827).

The spelling of 20009825 in words is "twenty million, nine thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 275 72763 363815 800393 1819075 4001965 20009825