Base | Representation |
---|---|
bin | 1011101110011110101000 |
3 | 12210011200101 |
4 | 23232132220 |
5 | 1241331320 |
6 | 145515144 |
7 | 35061661 |
oct | 13563650 |
9 | 5704611 |
10 | 3073960 |
11 | 180a56a |
12 | 1042ab4 |
13 | 838216 |
14 | 5a0368 |
15 | 40ac0a |
hex | 2ee7a8 |
3073960 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 1140480.
The previous prime is 3073951. The next prime is 3073963. The reversal of 3073960 is 693703.
3073960 is a nontrivial binomial coefficient, being equal to C(2480, 2).
It is not an unprimeable number, because it can be changed into a prime (3073963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45847 + ... + 45913.
It is an arithmetic number, because the mean of its divisors is an integer number (116280).
Almost surely, 23073960 is an apocalyptic number.
3073960 is the 2479-th triangular number and also the 1240-th hexagonal number.
3073960 is the 827-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3073960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).
3073960 is an abundant number, since it is smaller than the sum of its proper divisors (4367960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3073960 is a wasteful number, since it uses less digits than its factorization.
3073960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 3402, while the sum is 28.
The square root of 3073960 is about 1753.2712283044. The cubic root of 3073960 is about 145.4005571417.
The spelling of 3073960 in words is "three million, seventy-three thousand, nine hundred sixty".
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