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20145177 = 3213172181
BaseRepresentation
bin100110011011…
…0010000011001
31101220110222200
41030312100121
520124121202
61555440413
7333142203
oct114662031
941813880
1020145177
111040a408
1268b6109
134234530
142965773
151b7de1c
hex1336419

20145177 has 12 divisors (see below), whose sum is σ = 31337124. Its totient is φ = 12396960.

The previous prime is 20145173. The next prime is 20145193. The reversal of 20145177 is 77154102.

20145177 is a `hidden beast` number, since 201 + 451 + 7 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10634121 + 9511056 = 3261^2 + 3084^2 .

It is not a de Polignac number, because 20145177 - 22 = 20145173 is a prime.

It is a super-2 number, since 2×201451772 = 811656312722658, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20145177.

It is not an unprimeable number, because it can be changed into a prime (20145173) 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 11 ways as a sum of consecutive naturals, for example, 85974 + ... + 86207.

It is an arithmetic number, because the mean of its divisors is an integer number (2611427).

Almost surely, 220145177 is an apocalyptic number.

It is an amenable number.

20145177 is a deficient number, since it is larger than the sum of its proper divisors (11191947).

20145177 is a wasteful number, since it uses less digits than its factorization.

20145177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172200 (or 172197 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 20145177 is about 4488.3378883502. The cubic root of 20145177 is about 272.0969638799.

Adding to 20145177 its reverse (77154102), we get a palindrome (97299279).

The spelling of 20145177 in words is "twenty million, one hundred forty-five thousand, one hundred seventy-seven".

Divisors: 1 3 9 13 39 117 172181 516543 1549629 2238353 6715059 20145177