Base | Representation |
---|---|
bin | 111101101110110… |
… | …111001010001000 |
3 | 2200011211202002000 |
4 | 331232313022020 |
5 | 4110114212403 |
6 | 250434311000 |
7 | 34444155105 |
oct | 7556671210 |
9 | 2604752060 |
10 | 1035694728 |
11 | 491693862 |
12 | 24aa28460 |
13 | 136757223 |
14 | 9b79daac |
15 | 60dd27a3 |
hex | 3dbb7288 |
1035694728 has 64 divisors (see below), whose sum is σ = 2882572800. Its totient is φ = 344554560.
The previous prime is 1035694711. The next prime is 1035694729. The reversal of 1035694728 is 8274965301.
1035694728 is a `hidden beast` number, since 10 + 3 + 569 + 4 + 72 + 8 = 666.
1035694728 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×10356947283 (a number of 28 digits) contains 333 as substring.
1035694728 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (1035694729) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112425 + ... + 121287.
It is an arithmetic number, because the mean of its divisors is an integer number (45040200).
It is a 2-persistent number, because it is pandigital, and so is 2⋅1035694728 = 2071389456, but 3⋅1035694728 = 3107084184 is not.
Almost surely, 21035694728 is an apocalyptic number.
1035694728 is a gapful number since it is divisible by the number (18) 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 1035694728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441286400).
1035694728 is an abundant number, since it is smaller than the sum of its proper divisors (1846878072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035694728 is a wasteful number, since it uses less digits than its factorization.
1035694728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9419 (or 9409 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1035694728 is about 32182.2113596937. The cubic root of 1035694728 is about 1011.7594167387.
The spelling of 1035694728 in words is "one billion, thirty-five million, six hundred ninety-four thousand, seven hundred twenty-eight".
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