Base | Representation |
---|---|
bin | 100110001010… |
… | …0001101100110 |
3 | 1101122101201010 |
4 | 1030110031212 |
5 | 20110140414 |
6 | 1552443050 |
7 | 332021520 |
oct | 114241546 |
9 | 41571633 |
10 | 20005734 |
11 | 10324671 |
12 | 6849486 |
13 | 41b5c18 |
14 | 292aa10 |
15 | 1b52959 |
hex | 1314366 |
20005734 has 32 divisors (see below), whose sum is σ = 45941760. Its totient is φ = 5689152.
The previous prime is 20005729. The next prime is 20005763. The reversal of 20005734 is 43750002.
It is a happy number.
20005734 is nontrivially palindromic in base 12.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 20005734.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 9042 + ... + 11034.
It is an arithmetic number, because the mean of its divisors is an integer number (1435680).
Almost surely, 220005734 is an apocalyptic number.
20005734 is an abundant number, since it is smaller than the sum of its proper divisors (25936026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20005734 is a wasteful number, since it uses less digits than its factorization.
20005734 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2244.
The product of its (nonzero) digits is 840, while the sum is 21.
The square root of 20005734 is about 4472.7769897459. The cubic root of 20005734 is about 271.4676999652.
Adding to 20005734 its reverse (43750002), we get a palindrome (63755736).
The spelling of 20005734 in words is "twenty million, five thousand, seven hundred thirty-four".
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