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20429631 = 331747947
BaseRepresentation
bin100110111101…
…1101100111111
31102102221012000
41031323230333
520212222011
62005513343
7335435415
oct115735477
942387160
1020429631
11105940a2
126a12853
134303b51
1429db2b5
151bd8356
hex137bb3f

20429631 has 32 divisors (see below), whose sum is σ = 32762880. Its totient is φ = 12532608.

The previous prime is 20429627. The next prime is 20429657. The reversal of 20429631 is 13692402.

20429631 is a `hidden beast` number, since 2 + 0 + 4 + 29 + 631 = 666.

It is not a de Polignac number, because 20429631 - 22 = 20429627 is a prime.

It is a super-2 number, since 2×204296312 = 834739645592322, 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 = 20429595 and 20429604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20429621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21100 + ... + 22046.

It is an arithmetic number, because the mean of its divisors is an integer number (1023840).

Almost surely, 220429631 is an apocalyptic number.

20429631 is a deficient number, since it is larger than the sum of its proper divisors (12333249).

20429631 is a wasteful number, since it uses less digits than its factorization.

20429631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20429631 is about 4519.9149328278. The cubic root of 20429631 is about 273.3716710387.

The spelling of 20429631 in words is "twenty million, four hundred twenty-nine thousand, six hundred thirty-one".

Divisors: 1 3 9 17 27 47 51 141 153 423 459 799 947 1269 2397 2841 7191 8523 16099 21573 25569 44509 48297 133527 144891 400581 434673 756653 1201743 2269959 6809877 20429631