Base | Representation |
---|---|
bin | 10000001001001111100000 |
3 | 21222000102200 |
4 | 100021033200 |
5 | 2040412120 |
6 | 230413200 |
7 | 50654442 |
oct | 20111740 |
9 | 7860380 |
10 | 4232160 |
11 | 2430759 |
12 | 1501200 |
13 | b5244a |
14 | 7c2492 |
15 | 588e90 |
hex | 4093e0 |
4232160 has 72 divisors (see below), whose sum is σ = 14447160. Its totient is φ = 1128192.
The previous prime is 4232159. The next prime is 4232183. The reversal of 4232160 is 612324.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×42321602 = 35822356531200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 2909.
It is an arithmetic number, because the mean of its divisors is an integer number (200655).
Almost surely, 24232160 is an apocalyptic number.
4232160 is a gapful number since it is divisible by the number (40) 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 4232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223580).
4232160 is an abundant number, since it is smaller than the sum of its proper divisors (10215000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4232160 is a wasteful number, since it uses less digits than its factorization.
4232160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2960 (or 2949 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 4232160 is about 2057.2214270710. The cubic root of 4232160 is about 161.7536264134.
Adding to 4232160 its reverse (612324), we get a palindrome (4844484).
The spelling of 4232160 in words is "four million, two hundred thirty-two thousand, one hundred sixty".
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