Base | Representation |
---|---|
bin | 100110011001… |
… | …0111101011101 |
3 | 1101212210110200 |
4 | 1030302331131 |
5 | 20123203202 |
6 | 1555254113 |
7 | 333054636 |
oct | 114627535 |
9 | 41783420 |
10 | 20131677 |
11 | 10400255 |
12 | 68aa339 |
13 | 422b347 |
14 | 296088d |
15 | 1b79e1c |
hex | 1332f5d |
20131677 has 12 divisors (see below), whose sum is σ = 29119740. Its totient is φ = 13402368.
The previous prime is 20131673. The next prime is 20131681. The reversal of 20131677 is 77613102.
It is an interprime number because it is at equal distance from previous prime (20131673) and next prime (20131681).
It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 12809241 = 2706^2 + 3579^2 .
It is not a de Polignac number, because 20131677 - 22 = 20131673 is a prime.
It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 20131677.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20131673) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8973 + ... + 10989.
It is an arithmetic number, because the mean of its divisors is an integer number (2426645).
Almost surely, 220131677 is an apocalyptic number.
It is an amenable number.
20131677 is a deficient number, since it is larger than the sum of its proper divisors (8988063).
20131677 is a wasteful number, since it uses less digits than its factorization.
20131677 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3132 (or 3129 counting only the distinct ones).
The product of its (nonzero) digits is 1764, while the sum is 27.
The square root of 20131677 is about 4486.8337388408. The cubic root of 20131677 is about 272.0361696782.
Adding to 20131677 its reverse (77613102), we get a palindrome (97744779).
It can be divided in two parts, 201 and 31677, that added together give a triangular number (31878 = T252).
The spelling of 20131677 in words is "twenty million, one hundred thirty-one thousand, six hundred seventy-seven".
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