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20632689 = 32711191567
BaseRepresentation
bin100111010110…
…1010001110001
31102211020201200
41032231101301
520240221224
62014121413
7340242420
oct116552161
942736650
1020632689
1110712710
126ab0269
1343753bc
142a512b7
151c285c9
hex13ad471

20632689 has 48 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 10147680.

The previous prime is 20632663. The next prime is 20632691. The reversal of 20632689 is 98623602.

It is not a de Polignac number, because 20632689 - 25 = 20632657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20632649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12384 + ... + 13950.

It is an arithmetic number, because the mean of its divisors is an integer number (815360).

Almost surely, 220632689 is an apocalyptic number.

It is an amenable number.

20632689 is a deficient number, since it is larger than the sum of its proper divisors (18504591).

20632689 is a wasteful number, since it uses less digits than its factorization.

20632689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20632689 is about 4542.3219833033. The cubic root of 20632689 is about 274.2744023190.

It can be divided in two parts, 20632 and 689, that added together give a triangular number (21321 = T206).

The spelling of 20632689 in words is "twenty million, six hundred thirty-two thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 133 171 209 231 399 627 693 1197 1463 1567 1881 4389 4701 10969 13167 14103 17237 29773 32907 51711 89319 98721 120659 155133 208411 267957 327503 361977 625233 982509 1085931 1875699 2292521 2947527 6877563 20632689