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20634831 = 35721733
BaseRepresentation
bin100111010110…
…1110011001111
31102211100200000
41032231303033
520240303311
62014135343
7340251600
oct116556317
942740600
1020634831
1110714288
126ab1553
134376379
142a51da7
151c29056
hex13adccf

20634831 has 36 divisors (see below), whose sum is σ = 35977032. Its totient is φ = 11784528.

The previous prime is 20634799. The next prime is 20634851. The reversal of 20634831 is 13843602.

It is a happy number.

20634831 is a `hidden beast` number, since 20 + 634 + 8 + 3 + 1 = 666.

It is not a de Polignac number, because 20634831 - 25 = 20634799 is a prime.

It is a super-2 number, since 2×206348312 = 851592500797122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20634795 and 20634804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20634851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11041 + ... + 12773.

It is an arithmetic number, because the mean of its divisors is an integer number (999362).

Almost surely, 220634831 is an apocalyptic number.

20634831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20634831 is a deficient number, since it is larger than the sum of its proper divisors (15342201).

20634831 is an equidigital number, since it uses as much as digits as its factorization.

20634831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20634831 is about 4542.5577596768. The cubic root of 20634831 is about 274.2838933333.

The spelling of 20634831 in words is "twenty million, six hundred thirty-four thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 1323 1701 1733 3969 5199 11907 12131 15597 36393 46791 84917 109179 140373 254751 327537 421119 764253 982611 2292759 2947833 6878277 20634831