Base | Representation |
---|---|
bin | 100000010101111… |
… | …0101111100100000 |
3 | 2210122001122112000 |
4 | 1000223311330200 |
5 | 4210310004401 |
6 | 255404204000 |
7 | 35615226240 |
oct | 10053657440 |
9 | 2718048460 |
10 | 1085234976 |
11 | 507650111 |
12 | 263539600 |
13 | 143ab1297 |
14 | a41b7b20 |
15 | 6541b186 |
hex | 40af5f20 |
1085234976 has 96 divisors (see below), whose sum is σ = 3617470080. Its totient is φ = 310065408.
The previous prime is 1085234963. The next prime is 1085234977. The reversal of 1085234976 is 6794325801.
1085234976 is a `hidden beast` number, since 10 + 8 + 523 + 49 + 76 = 666.
1085234976 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
1085234976 is strictly pandigital in base 10.
It is not an unprimeable number, because it can be changed into a prime (1085234977) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83671 + ... + 95766.
It is an arithmetic number, because the mean of its divisors is an integer number (37681980).
It is a 1-persistent number, because it is pandigital, but 2⋅1085234976 = 2170469952 is not.
Almost surely, 21085234976 is an apocalyptic number.
1085234976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
1085234976 is an abundant number, since it is smaller than the sum of its proper divisors (2532235104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1085234976 is a wasteful number, since it uses less digits than its factorization.
1085234976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179463 (or 179449 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 1085234976 is about 32942.9047899544. The cubic root of 1085234976 is about 1027.6406158453.
The spelling of 1085234976 in words is "one billion, eighty-five million, two hundred thirty-four thousand, nine hundred seventy-six".
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