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20825343 = 36721153
BaseRepresentation
bin100111101110…
…0010011111111
31110012001000000
41033130103333
520312402333
62022205343
7342004200
oct117342377
943161000
1020825343
1110834430
126b83853
134411cb6
142aa15a7
151c65713
hex13dc4ff

20825343 has 84 divisors (see below), whose sum is σ = 40371048. Its totient is φ = 10614240.

The previous prime is 20825341. The next prime is 20825347. The reversal of 20825343 is 34352802.

It is not a de Polignac number, because 20825343 - 21 = 20825341 is a prime.

It is a super-2 number, since 2×208253432 = 867389822135298, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20825341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 392905 + ... + 392957.

Almost surely, 220825343 is an apocalyptic number.

20825343 is a deficient number, since it is larger than the sum of its proper divisors (19545705).

20825343 is an equidigital number, since it uses as much as digits as its factorization.

20825343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20825343 is about 4563.4792647716. The cubic root of 20825343 is about 275.1254215771.

The spelling of 20825343 in words is "twenty million, eight hundred twenty-five thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 21 27 33 49 53 63 77 81 99 147 159 189 231 243 297 371 441 477 539 567 583 693 729 891 1113 1323 1431 1617 1701 1749 2079 2597 2673 3339 3969 4081 4293 4851 5103 5247 6237 7791 8019 10017 11907 12243 12879 14553 15741 18711 23373 28567 30051 35721 36729 38637 43659 47223 56133 70119 85701 90153 110187 130977 141669 210357 257103 270459 330561 392931 425007 631071 771309 991683 1893213 2313927 2975049 6941781 20825343