Base | Representation |
---|---|
bin | 10011100100010… |
… | …10111010101100 |
3 | 102102212112011100 |
4 | 21302022322230 |
5 | 314010144420 |
6 | 24142123100 |
7 | 4032140163 |
oct | 1162127254 |
9 | 372775140 |
10 | 164146860 |
11 | 84724a69 |
12 | 46b80490 |
13 | 28013127 |
14 | 17b2c3da |
15 | e626190 |
hex | 9c8aeac |
164146860 has 144 divisors (see below), whose sum is σ = 536739840. Its totient is φ = 40487040.
The previous prime is 164146847. The next prime is 164146897. The reversal of 164146860 is 68641461.
164146860 is a `hidden beast` number, since 1 + 641 + 4 + 6 + 8 + 6 + 0 = 666.
164146860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127701 + ... + 128979.
It is an arithmetic number, because the mean of its divisors is an integer number (3727360).
Almost surely, 2164146860 is an apocalyptic number.
164146860 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 164146860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268369920).
164146860 is an abundant number, since it is smaller than the sum of its proper divisors (372592980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164146860 is a wasteful number, since it uses less digits than its factorization.
164146860 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1348 (or 1343 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 164146860 is about 12811.9811114441. The cubic root of 164146860 is about 547.5337065631.
The spelling of 164146860 in words is "one hundred sixty-four million, one hundred forty-six thousand, eight hundred sixty".
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