Base | Representation |
---|---|
bin | 111101101100001… |
… | …101100100100000 |
3 | 2200010112110012220 |
4 | 331230031210200 |
5 | 4104430000341 |
6 | 250411351040 |
7 | 34435232664 |
oct | 7554154440 |
9 | 2603473186 |
10 | 1035000096 |
11 | 491259989 |
12 | 24a752480 |
13 | 136572cc0 |
14 | 9b65c8a4 |
15 | 60ce6a66 |
hex | 3db0d920 |
1035000096 has 96 divisors (see below), whose sum is σ = 2937695040. Its totient is φ = 317174784.
The previous prime is 1035000073. The next prime is 1035000107. The reversal of 1035000096 is 6900005301.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334171 + ... + 337253.
It is an arithmetic number, because the mean of its divisors is an integer number (30600990).
Almost surely, 21035000096 is an apocalyptic number.
1035000096 is a gapful number since it is divisible by the number (16) 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 1035000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468847520).
1035000096 is an abundant number, since it is smaller than the sum of its proper divisors (1902694944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1035000096 is a wasteful number, since it uses less digits than its factorization.
1035000096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 24.
The square root of 1035000096 is about 32171.4173762985. The cubic root of 1035000096 is about 1011.5331732239.
Adding to 1035000096 its reverse (6900005301), we get a palindrome (7935005397).
The spelling of 1035000096 in words is "one billion, thirty-five million, ninety-six", and thus it is an aban number and an uban number.
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