Base | Representation |
---|---|
bin | 111101011001001… |
… | …000110110100000 |
3 | 2122210010102102100 |
4 | 331121020312200 |
5 | 4102140000112 |
6 | 250112250400 |
7 | 34344566355 |
oct | 7531106640 |
9 | 2583112370 |
10 | 1030000032 |
11 | 4894542a6 |
12 | 248b40a00 |
13 | 135512199 |
14 | 9ab1a62c |
15 | 6065a2dc |
hex | 3d648da0 |
1030000032 has 144 divisors (see below), whose sum is σ = 3159112320. Its totient is φ = 317260800.
The previous prime is 1030000031. The next prime is 1030000091. The reversal of 1030000032 is 2300000301.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1029999969 and 1030000023.
It is not an unprimeable number, because it can be changed into a prime (1030000031) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222057 + ... + 226647.
It is an arithmetic number, because the mean of its divisors is an integer number (21938280).
Almost surely, 21030000032 is an apocalyptic number.
1030000032 is a gapful number since it is divisible by the number (12) 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 1030000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579556160).
1030000032 is an abundant number, since it is smaller than the sum of its proper divisors (2129112288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1030000032 is a wasteful number, since it uses less digits than its factorization.
1030000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4667 (or 4656 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 1030000032 is about 32093.6135703040. The cubic root of 1030000032 is about 1009.9016445085.
Adding to 1030000032 its reverse (2300000301), we get a palindrome (3330000333).
The spelling of 1030000032 in words is "one billion, thirty million, thirty-two", and thus it is an aban number and an uban number.
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