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20780864 = 261324977
BaseRepresentation
bin100111101000…
…1011101000000
31110002202222122
41033101131000
520304441424
62021223412
7341430416
oct117213500
943082878
1020780864
1110803a75
126b61b68
1343c7990
142a8d2b6
151c5745e
hex13d1740

20780864 has 28 divisors (see below), whose sum is σ = 44410884. Its totient is φ = 9590784.

The previous prime is 20780863. The next prime is 20780869. The reversal of 20780864 is 46808702.

It can be written as a sum of positive squares in 2 ways, for example, as 1420864 + 19360000 = 1192^2 + 4400^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20780863) 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 3 ways as a sum of consecutive naturals, for example, 11657 + ... + 13320.

It is an arithmetic number, because the mean of its divisors is an integer number (1586103).

Almost surely, 220780864 is an apocalyptic number.

It is an amenable number.

20780864 is an abundant number, since it is smaller than the sum of its proper divisors (23630020).

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

20780864 is a wasteful number, since it uses less digits than its factorization.

20780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002 (or 24992 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 20780864 is about 4558.6032948700. The cubic root of 20780864 is about 274.9294099809.

The spelling of 20780864 in words is "twenty million, seven hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 24977 49954 99908 199816 324701 399632 649402 799264 1298804 1598528 2597608 5195216 10390432 20780864