Base | Representation |
---|---|
bin | 101011100101000… |
… | …010011101010000 |
3 | 1212221202020101001 |
4 | 223211002131100 |
5 | 2444132122210 |
6 | 200314351344 |
7 | 24055333261 |
oct | 5345023520 |
9 | 1787666331 |
10 | 731129680 |
11 | 345781606 |
12 | 184a2b554 |
13 | b861b618 |
14 | 6d15c968 |
15 | 442c103a |
hex | 2b942750 |
731129680 has 40 divisors (see below), whose sum is σ = 1707033600. Its totient is φ = 291220608.
The previous prime is 731129669. The next prime is 731129683. The reversal of 731129680 is 86921137.
731129680 is a nontrivial binomial coefficient, being equal to C(38240, 2).
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×7311296803 (a number of 28 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (731129683) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 38239.
It is an arithmetic number, because the mean of its divisors is an integer number (42675840).
Almost surely, 2731129680 is an apocalyptic number.
731129680 is the 38239-th triangular number and also the 19120-th hexagonal number.
731129680 is the 12747-th centered nonagonal number.
It is an amenable number.
731129680 is an abundant number, since it is smaller than the sum of its proper divisors (975903920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
731129680 is a wasteful number, since it uses less digits than its factorization.
731129680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38491 (or 38485 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 37.
The square root of 731129680 is about 27039.4097568715. The cubic root of 731129680 is about 900.8755594638.
The spelling of 731129680 in words is "seven hundred thirty-one million, one hundred twenty-nine thousand, six hundred eighty".
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