Base | Representation |
---|---|
bin | 1010101001011010000000 |
3 | 12020210120212 |
4 | 22221122000 |
5 | 1203303130 |
6 | 135453252 |
7 | 32503100 |
oct | 12513200 |
9 | 5223525 |
10 | 2791040 |
11 | 1636a4a |
12 | b27228 |
13 | 769505 |
14 | 529200 |
15 | 3a1e95 |
hex | 2a9680 |
2791040 has 96 divisors (see below), whose sum is σ = 7848900. Its totient is φ = 946176.
The previous prime is 2791039. The next prime is 2791051. The reversal of 2791040 is 401972.
It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 153664 = 1624^2 + 392^2 .
It is a super-3 number, since 3×27910403 = 65225803338350592000, which contains 333 as substring.
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 2790997 and 2791015.
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, 31316 + ... + 31404.
22791040 is an apocalyptic number.
2791040 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 2791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924450).
2791040 is an abundant number, since it is smaller than the sum of its proper divisors (5057860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2791040 is an equidigital number, since it uses as much as digits as its factorization.
2791040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 103 counting only the distinct ones).
The product of its (nonzero) digits is 504, while the sum is 23.
The square root of 2791040 is about 1670.6405956997. The cubic root of 2791040 is about 140.7954716174.
The spelling of 2791040 in words is "two million, seven hundred ninety-one thousand, forty".
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