Base | Representation |
---|---|
bin | 111100011001111… |
… | …110110111000000 |
3 | 2121121222021212011 |
4 | 330121332313000 |
5 | 4033420202112 |
6 | 244321342304 |
7 | 34054063216 |
oct | 7431766700 |
9 | 2547867764 |
10 | 1013444032 |
11 | 480076557 |
12 | 243497994 |
13 | 131c66533 |
14 | 9884acb6 |
15 | 5de89aa7 |
hex | 3c67edc0 |
1013444032 has 56 divisors (see below), whose sum is σ = 2104436736. Its totient is φ = 483318528.
The previous prime is 1013443993. The next prime is 1013444039. The reversal of 1013444032 is 2304443101.
It is a junction number, because it is equal to n+sod(n) for n = 1013443994 and 1013444012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1013444039) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680793 + ... + 682279.
Almost surely, 21013444032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1013444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052218368).
1013444032 is an abundant number, since it is smaller than the sum of its proper divisors (1090992704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013444032 is a wasteful number, since it uses less digits than its factorization.
1013444032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 1013444032 is about 31834.6357290295. The cubic root of 1013444032 is about 1004.4614102186.
Adding to 1013444032 its reverse (2304443101), we get a palindrome (3317887133).
The spelling of 1013444032 in words is "one billion, thirteen million, four hundred forty-four thousand, thirty-two".
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