Base | Representation |
---|---|
bin | 100110100110… |
… | …0001110100000 |
3 | 1102002001102200 |
4 | 1031030032200 |
5 | 20140011133 |
6 | 2001413200 |
7 | 333665442 |
oct | 115141640 |
9 | 42061380 |
10 | 20235168 |
11 | 10470a88 |
12 | 693a200 |
13 | 4266495 |
14 | 298a492 |
15 | 1b9a913 |
hex | 134c3a0 |
20235168 has 72 divisors (see below), whose sum is σ = 60943428. Its totient is φ = 6346752.
The previous prime is 20235167. The next prime is 20235169. The reversal of 20235168 is 86153202.
It is an interprime number because it is at equal distance from previous prime (20235167) and next prime (20235169).
It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 1468944 = 4332^2 + 1212^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (20235161) 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, 2830 + ... + 6962.
Almost surely, 220235168 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 20235168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30471714).
20235168 is an abundant number, since it is smaller than the sum of its proper divisors (40708260).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20235168 is a wasteful number, since it uses less digits than its factorization.
20235168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4166 (or 4155 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 20235168 is about 4498.3516981223. The cubic root of 20235168 is about 272.5015256767.
The spelling of 20235168 in words is "twenty million, two hundred thirty-five thousand, one hundred sixty-eight".
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