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20479041 = 3311531301
BaseRepresentation
bin100111000011…
…1110001000001
31102112102222000
41032013301001
520220312131
62010534213
7336032442
oct116076101
942472860
1020479041
1110618230
126a37369
13432049b
142a112c9
151be7ce6
hex1387c41

20479041 has 32 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 12168000.

The previous prime is 20479031. The next prime is 20479057. The reversal of 20479041 is 14097402.

It is a happy number.

It is not a de Polignac number, because 20479041 - 26 = 20478977 is a prime.

It is a super-2 number, since 2×204790412 = 838782240559362, 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 = 20478996 and 20479014.

It is not an unprimeable number, because it can be changed into a prime (20479031) 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 31 ways as a sum of consecutive naturals, for example, 15091 + ... + 16391.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 220479041 is an apocalyptic number.

It is an amenable number.

20479041 is a deficient number, since it is larger than the sum of its proper divisors (13268799).

20479041 is a wasteful number, since it uses less digits than its factorization.

20479041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20479041 is about 4525.3774428218. The cubic root of 20479041 is about 273.5918809148.

The spelling of 20479041 in words is "twenty million, four hundred seventy-nine thousand, forty-one".

Divisors: 1 3 9 11 27 33 53 99 159 297 477 583 1301 1431 1749 3903 5247 11709 14311 15741 35127 42933 68953 128799 206859 386397 620577 758483 1861731 2275449 6826347 20479041