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20775645 = 3251119472
BaseRepresentation
bin100111101000…
…0001011011101
31110002111211100
41033100023131
520304310040
62021143313
7341406252
oct117201335
943074740
1020775645
1110800060
126b5ab39
1343c54a7
142a8b429
151c55b30
hex13d02dd

20775645 has 72 divisors (see below), whose sum is σ = 42251040. Its totient is φ = 9339840.

The previous prime is 20775631. The next prime is 20775661. The reversal of 20775645 is 54657702.

20775645 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 5 + 645 = 666.

It is not a de Polignac number, because 20775645 - 25 = 20775613 is a prime.

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 442012 + ... + 442058.

It is an arithmetic number, because the mean of its divisors is an integer number (586820).

Almost surely, 220775645 is an apocalyptic number.

It is an amenable number.

20775645 is an abundant number, since it is smaller than the sum of its proper divisors (21475395).

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

20775645 is a wasteful number, since it uses less digits than its factorization.

20775645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 20775645 is about 4558.0308248190. The cubic root of 20775645 is about 274.9063923828.

The spelling of 20775645 in words is "twenty million, seven hundred seventy-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 19 33 45 47 55 57 95 99 141 165 171 209 235 285 423 495 517 627 705 855 893 1045 1551 1881 2115 2209 2585 2679 3135 4465 4653 6627 7755 8037 9405 9823 11045 13395 19881 23265 24299 29469 33135 40185 41971 49115 72897 88407 99405 121495 125913 147345 209855 218691 364485 377739 442035 461681 629565 1093455 1385043 1888695 2308405 4155129 6925215 20775645