Base | Representation |
---|---|
bin | 1001000100000000000000 |
3 | 11110200211011 |
4 | 21010000000 |
5 | 1102010210 |
6 | 122530304 |
7 | 26123116 |
oct | 11040000 |
9 | 4420734 |
10 | 2375680 |
11 | 138297a |
12 | 966994 |
13 | 652438 |
14 | 45bab6 |
15 | 31dd8a |
hex | 244000 |
2375680 has 60 divisors (see below), whose sum is σ = 5898060. Its totient is φ = 917504.
The previous prime is 2375671. The next prime is 2375687. The reversal of 2375680 is 865732.
It can be written as a sum of positive squares in 2 ways, for example, as 1048576 + 1327104 = 1024^2 + 1152^2 .
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2375687) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81906 + ... + 81934.
It is an arithmetic number, because the mean of its divisors is an integer number (98301).
22375680 is an apocalyptic number.
2375680 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 2375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949030).
2375680 is an abundant number, since it is smaller than the sum of its proper divisors (3522380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2375680 is an frugal number, since it uses more digits than its factorization.
2375680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62 (or 36 counting only the distinct ones).
The product of its (nonzero) digits is 10080, while the sum is 31.
The square root of 2375680 is about 1541.3241060854. The cubic root of 2375680 is about 133.4328146464.
The spelling of 2375680 in words is "two million, three hundred seventy-five thousand, six hundred eighty".
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