Base | Representation |
---|---|
bin | 10011100101001… |
… | …01100110100000 |
3 | 102110002002002111 |
4 | 21302211212200 |
5 | 314022144120 |
6 | 24144325104 |
7 | 4033103635 |
oct | 1162454640 |
9 | 373062074 |
10 | 164256160 |
11 | 8479a0a2 |
12 | 47013794 |
13 | 28050ac3 |
14 | 17b5a18c |
15 | e64875a |
hex | 9ca59a0 |
164256160 has 48 divisors (see below), whose sum is σ = 391862016. Its totient is φ = 65058048.
The previous prime is 164256149. The next prime is 164256167. The reversal of 164256160 is 61652461.
It is not an unprimeable number, because it can be changed into a prime (164256167) 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, 11497 + ... + 21463.
It is an arithmetic number, because the mean of its divisors is an integer number (8163792).
Almost surely, 2164256160 is an apocalyptic number.
164256160 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 164256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195931008).
164256160 is an abundant number, since it is smaller than the sum of its proper divisors (227605856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164256160 is a wasteful number, since it uses less digits than its factorization.
164256160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10085 (or 10077 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 31.
The square root of 164256160 is about 12816.2459402120. The cubic root of 164256160 is about 547.6552078334.
The spelling of 164256160 in words is "one hundred sixty-four million, two hundred fifty-six thousand, one hundred sixty".
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