Base | Representation |
---|---|
bin | 1000010000000011111100 |
3 | 11001212222220 |
4 | 20100003330 |
5 | 1023203230 |
6 | 114205340 |
7 | 24245643 |
oct | 10200374 |
9 | 4055886 |
10 | 2162940 |
11 | 124805a |
12 | 883850 |
13 | 5a9660 |
14 | 40435a |
15 | 2cad10 |
hex | 2100fc |
2162940 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 512256.
The previous prime is 2162929. The next prime is 2162947. The reversal of 2162940 is 492612.
2162940 = T1 + T2 + ... + T234.
2162940 is a nontrivial binomial coefficient, being equal to C(236, 3).
It is a self number, because there is not a number n which added to its sum of digits gives 2162940.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2162947) by changing a digit.
It is the 234-th tetrahedral number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36631 + ... + 36689.
It is an arithmetic number, because the mean of its divisors is an integer number (70560).
22162940 is an apocalyptic number.
2162940 is a gapful number since it is divisible by the number (20) 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 2162940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).
2162940 is an abundant number, since it is smaller than the sum of its proper divisors (4610820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2162940 is a wasteful number, since it uses less digits than its factorization.
2162940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 131 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The square root of 2162940 is about 1470.6937138643. The cubic root of 2162940 is about 129.3247033129.
The spelling of 2162940 in words is "two million, one hundred sixty-two thousand, nine hundred forty".
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