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20787345 = 3251729937
BaseRepresentation
bin100111101001…
…1000010010001
31110010002212200
41033103002101
520310143340
62021313413
7341455335
oct117230221
943102780
1020787345
1110808927
126b65869
1343ca907
142a917c5
151c59330
hex13d3091

20787345 has 48 divisors (see below), whose sum is σ = 39508560. Its totient is φ = 10063872.

The previous prime is 20787337. The next prime is 20787373. The reversal of 20787345 is 54378702.

It can be written as a sum of positive squares in 8 ways, for example, as 725904 + 20061441 = 852^2 + 4479^2 .

It is not a de Polignac number, because 20787345 - 23 = 20787337 is a prime.

It is a super-2 number, since 2×207873452 = 864227424298050, which contains 22 as substring.

It is an unprimeable number.

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, 21717 + ... + 22653.

It is an arithmetic number, because the mean of its divisors is an integer number (823095).

Almost surely, 220787345 is an apocalyptic number.

It is an amenable number.

20787345 is a deficient number, since it is larger than the sum of its proper divisors (18721215).

20787345 is a wasteful number, since it uses less digits than its factorization.

20787345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 20787345 is about 4559.3140931504. The cubic root of 20787345 is about 274.9579880725.

The spelling of 20787345 in words is "twenty million, seven hundred eighty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 435 493 765 937 1305 1479 2465 2811 4437 4685 7395 8433 14055 15929 22185 27173 42165 47787 79645 81519 135865 143361 238935 244557 407595 461941 716805 1222785 1385823 2309705 4157469 6929115 20787345