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20415681 = 32111329547
BaseRepresentation
bin100110111100…
…0010011000001
31102102020001100
41031320103001
520211300211
62005325013
7335346636
oct115702301
942366040
1020415681
1110584670
126a06769
1342ca6b0
1429d618d
151bd4156
hex13784c1

20415681 has 48 divisors (see below), whose sum is σ = 35904960. Its totient is φ = 11007360.

The previous prime is 20415677. The next prime is 20415713. The reversal of 20415681 is 18651402.

It is not a de Polignac number, because 20415681 - 22 = 20415677 is a prime.

It is a super-2 number, since 2×204156812 = 833600061387522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20415611) 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 47 ways as a sum of consecutive naturals, for example, 37050 + ... + 37596.

It is an arithmetic number, because the mean of its divisors is an integer number (748020).

Almost surely, 220415681 is an apocalyptic number.

It is an amenable number.

20415681 is a deficient number, since it is larger than the sum of its proper divisors (15489279).

20415681 is a wasteful number, since it uses less digits than its factorization.

20415681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20415681 is about 4518.3714986707. The cubic root of 20415681 is about 273.3094345884.

The spelling of 20415681 in words is "twenty million, four hundred fifteen thousand, six hundred eighty-one".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 143 261 319 377 429 547 957 1131 1287 1641 2871 3393 4147 4923 6017 7111 12441 15863 18051 21333 37323 47589 54153 63999 78221 142767 174493 206219 234663 523479 618657 703989 1570437 1855971 2268409 6805227 20415681