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20800845 = 3251331237
BaseRepresentation
bin100111101011…
…0010101001101
31110010210101200
41033112111031
520311111340
62021500113
7341542602
oct117262515
943123350
1020800845
1110817a8a
126b71639
134403ac0
142a966a9
151c5d330
hex13d654d

20800845 has 72 divisors (see below), whose sum is σ = 41205528. Its totient is φ = 9642240.

The previous prime is 20800841. The next prime is 20800853. The reversal of 20800845 is 54800802.

It can be written as a sum of positive squares in 4 ways, for example, as 2499561 + 18301284 = 1581^2 + 4278^2 .

It is not a de Polignac number, because 20800845 - 22 = 20800841 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20800841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562167 + ... + 562203.

It is an arithmetic number, because the mean of its divisors is an integer number (572299).

Almost surely, 220800845 is an apocalyptic number.

It is an amenable number.

20800845 is a deficient number, since it is larger than the sum of its proper divisors (20404683).

20800845 is a wasteful number, since it uses less digits than its factorization.

20800845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20800845 is about 4560.7943387090. The cubic root of 20800845 is about 275.0174975092.

It can be divided in two parts, 20800 and 845, that multiplied together give a cube (17576000 = 2603).

The spelling of 20800845 in words is "twenty million, eight hundred thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 31 37 39 45 65 93 111 117 155 185 195 279 333 403 465 481 555 585 961 1147 1209 1395 1443 1665 2015 2405 2883 3441 3627 4329 4805 5735 6045 7215 8649 10323 12493 14415 14911 17205 18135 21645 35557 37479 43245 44733 51615 62465 74555 106671 112437 134199 177785 187395 223665 320013 462241 533355 562185 670995 1386723 1600065 2311205 4160169 6933615 20800845