Base | Representation |
---|---|
bin | 1000010100000011100000 |
3 | 11002201102200 |
4 | 20110003200 |
5 | 1024214141 |
6 | 114413200 |
7 | 24344430 |
oct | 10240340 |
9 | 4081380 |
10 | 2179296 |
11 | 1259379 |
12 | 891200 |
13 | 5b3c32 |
14 | 40a2c0 |
15 | 2d0ab6 |
hex | 2140e0 |
2179296 has 144 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 582912.
The previous prime is 2179291. The next prime is 2179297. The reversal of 2179296 is 6929712.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 2179296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2179291) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46345 + ... + 46391.
It is an arithmetic number, because the mean of its divisors is an integer number (52416).
22179296 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 2179296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).
2179296 is an abundant number, since it is smaller than the sum of its proper divisors (5368608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2179296 is a wasteful number, since it uses less digits than its factorization.
2179296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 93 (or 82 counting only the distinct ones).
The product of its digits is 13608, while the sum is 36.
The square root of 2179296 is about 1476.2438822905. The cubic root of 2179296 is about 129.6498664984.
The spelling of 2179296 in words is "two million, one hundred seventy-nine thousand, two hundred ninety-six".
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