Base | Representation |
---|---|
bin | 100110011100… |
… | …1010100100100 |
3 | 1101221010012200 |
4 | 1030321110210 |
5 | 20130021412 |
6 | 2000014500 |
7 | 333223620 |
oct | 114712444 |
9 | 41833180 |
10 | 20157732 |
11 | 10418891 |
12 | 6901430 |
13 | 423a16a |
14 | 296a180 |
15 | 1b829dc |
hex | 1339524 |
20157732 has 72 divisors (see below), whose sum is σ = 59684352. Its totient is φ = 5616000.
The previous prime is 20157707. The next prime is 20157737. The reversal of 20157732 is 23775102.
It is a junction number, because it is equal to n+sod(n) for n = 20157696 and 20157705.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20157737) 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 23 ways as a sum of consecutive naturals, for example, 9357 + ... + 11307.
Almost surely, 220157732 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20157732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29842176).
20157732 is an abundant number, since it is smaller than the sum of its proper divisors (39526620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20157732 is a wasteful number, since it uses less digits than its factorization.
20157732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2009 (or 2004 counting only the distinct ones).
The product of its (nonzero) digits is 2940, while the sum is 27.
The square root of 20157732 is about 4489.7362951514. The cubic root of 20157732 is about 272.1534781172.
The spelling of 20157732 in words is "twenty million, one hundred fifty-seven thousand, seven hundred thirty-two".
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