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20785772 = 2271989439
BaseRepresentation
bin100111101001…
…0101001101100
31110010000201102
41033102221230
520310121042
62021302232
7341450630
oct117225154
943100642
1020785772
1110807727
126b64978
1343c9c97
142a90dc0
151c58b32
hex13d2a6c

20785772 has 48 divisors (see below), whose sum is σ = 44352000. Its totient is φ = 8325504.

The previous prime is 20785763. The next prime is 20785819. The reversal of 20785772 is 27758702.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47129 + ... + 47567.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 220785772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20785772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).

20785772 is an abundant number, since it is smaller than the sum of its proper divisors (23566228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20785772 is a wasteful number, since it uses less digits than its factorization.

20785772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

The square root of 20785772 is about 4559.1415858690. The cubic root of 20785772 is about 274.9510524453.

The spelling of 20785772 in words is "twenty million, seven hundred eighty-five thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 89 133 178 266 356 439 532 623 878 1246 1691 1756 2492 3073 3382 6146 6764 8341 11837 12292 16682 23674 33364 39071 47348 58387 78142 116774 156284 233548 273497 546994 742349 1093988 1484698 2969396 5196443 10392886 20785772