Base | Representation |
---|---|
bin | 1001111000011010101100 |
3 | 11212121100000 |
4 | 21320122230 |
5 | 1130343010 |
6 | 131304300 |
7 | 31006062 |
oct | 11703254 |
9 | 4777300 |
10 | 2590380 |
11 | 150a211 |
12 | a4b090 |
13 | 6c9090 |
14 | 4b6032 |
15 | 3627c0 |
hex | 2786ac |
2590380 has 144 divisors (see below), whose sum is σ = 8989344. Its totient is φ = 622080.
The previous prime is 2590373. The next prime is 2590381. The reversal of 2590380 is 830952.
2590380 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 (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2590381) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63160 + ... + 63200.
It is an arithmetic number, because the mean of its divisors is an integer number (62426).
22590380 is an apocalyptic number.
2590380 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 2590380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494672).
2590380 is an abundant number, since it is smaller than the sum of its proper divisors (6398964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2590380 is a wasteful number, since it uses less digits than its factorization.
2590380 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 2590380 is about 1609.4657498686. The cubic root of 2590380 is about 137.3370852862.
The spelling of 2590380 in words is "two million, five hundred ninety thousand, three hundred eighty".
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