Base | Representation |
---|---|
bin | 1001101101101100110000 |
3 | 11210101010002 |
4 | 21231230300 |
5 | 1122441410 |
6 | 130325132 |
7 | 30434066 |
oct | 11555460 |
9 | 4711102 |
10 | 2546480 |
11 | 148a232 |
12 | a297a8 |
13 | 6b20c1 |
14 | 4a4036 |
15 | 3547a5 |
hex | 26db30 |
2546480 has 40 divisors (see below), whose sum is σ = 5989200. Its totient is φ = 1006848.
The previous prime is 2546443. The next prime is 2546497. The reversal of 2546480 is 846452.
2546480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (40).
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 11006 + ... + 11234.
It is an arithmetic number, because the mean of its divisors is an integer number (149730).
22546480 is an apocalyptic number.
2546480 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 2546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994600).
2546480 is an abundant number, since it is smaller than the sum of its proper divisors (3442720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2546480 is a wasteful number, since it uses less digits than its factorization.
2546480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 381 (or 375 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 29.
The square root of 2546480 is about 1595.7694069006. The cubic root of 2546480 is about 136.5568289270.
The spelling of 2546480 in words is "two million, five hundred forty-six thousand, four hundred eighty".
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