Base | Representation |
---|---|
bin | 10011010100111… |
… | …10110000010000 |
3 | 102022002002212101 |
4 | 21222132300100 |
5 | 313001142320 |
6 | 24031010144 |
7 | 4006043005 |
oct | 1152366020 |
9 | 368062771 |
10 | 162130960 |
11 | 83578432 |
12 | 46369954 |
13 | 277886a4 |
14 | 177658ac |
15 | e378c0a |
hex | 9a9ec10 |
162130960 has 40 divisors (see below), whose sum is σ = 380433240. Its totient is φ = 64253952.
The previous prime is 162130949. The next prime is 162130963. The reversal of 162130960 is 69031261.
It can be written as a sum of positive squares in 4 ways, for example, as 32444416 + 129686544 = 5696^2 + 11388^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is not an unprimeable number, because it can be changed into a prime (162130963) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 18016.
It is an arithmetic number, because the mean of its divisors is an integer number (9510831).
Almost surely, 2162130960 is an apocalyptic number.
162130960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 162130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190216620).
162130960 is an abundant number, since it is smaller than the sum of its proper divisors (218302280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
162130960 is a wasteful number, since it uses less digits than its factorization.
162130960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18715 (or 18709 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 28.
The square root of 162130960 is about 12733.0656167319. The cubic root of 162130960 is about 545.2830334157.
The spelling of 162130960 in words is "one hundred sixty-two million, one hundred thirty thousand, nine hundred sixty".
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