Base | Representation |
---|---|
bin | 111101011010101… |
… | …011111000000000 |
3 | 2122210220000210120 |
4 | 331122223320000 |
5 | 4102240440012 |
6 | 250125100240 |
7 | 34351206024 |
oct | 7532537000 |
9 | 2583800716 |
10 | 1030405632 |
11 | 489701003 |
12 | 2490b7680 |
13 | 135624999 |
14 | 9abc4384 |
15 | 606da58c |
hex | 3d6abe00 |
1030405632 has 80 divisors (see below), whose sum is σ = 2906613072. Its totient is φ = 323256320.
The previous prime is 1030405609. The next prime is 1030405639. The reversal of 1030405632 is 2365040301.
It is a happy number.
1030405632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1030405639) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6382 + ... + 45842.
Almost surely, 21030405632 is an apocalyptic number.
1030405632 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 1030405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453306536).
1030405632 is an abundant number, since it is smaller than the sum of its proper divisors (1876207440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1030405632 is an equidigital number, since it uses as much as digits as its factorization.
1030405632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39499 (or 39483 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 1030405632 is about 32099.9319625447. The cubic root of 1030405632 is about 1010.0341889548.
Adding to 1030405632 its reverse (2365040301), we get a palindrome (3395445933).
The spelling of 1030405632 in words is "one billion, thirty million, four hundred five thousand, six hundred thirty-two".
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