Base | Representation |
---|---|
bin | 111101101111101… |
… | …000010100000000 |
3 | 2200012012222020220 |
4 | 331233220110000 |
5 | 4110142133224 |
6 | 250442503040 |
7 | 34445654100 |
oct | 7557502400 |
9 | 2605188226 |
10 | 1035896064 |
11 | 491811055 |
12 | 24ab04a80 |
13 | 1367c7a68 |
14 | 9b813200 |
15 | 60e22279 |
hex | 3dbe8500 |
1035896064 has 108 divisors (see below), whose sum is σ = 3207232224. Its totient is φ = 295959552.
The previous prime is 1035896063. The next prime is 1035896117. The reversal of 1035896064 is 4606985301.
It is a super-3 number, since 3×10358960643 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1035896063) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23869 + ... + 51395.
Almost surely, 21035896064 is an apocalyptic number.
1035896064 is a gapful number since it is divisible by the number (14) 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 1035896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603616112).
1035896064 is an abundant number, since it is smaller than the sum of its proper divisors (2171336160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035896064 is an equidigital number, since it uses as much as digits as its factorization.
1035896064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27560 (or 27539 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 42.
The square root of 1035896064 is about 32185.3392711651. The cubic root of 1035896064 is about 1011.8249735062.
The spelling of 1035896064 in words is "one billion, thirty-five million, eight hundred ninety-six thousand, sixty-four".
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