Base | Representation |
---|---|
bin | 111011111010001… |
… | …111011011011110 |
3 | 2121001022112221200 |
4 | 323322033123132 |
5 | 4024302421134 |
6 | 243423140330 |
7 | 33623256420 |
oct | 7372173336 |
9 | 2531275850 |
10 | 1005123294 |
11 | 47640300a |
12 | 2407446a6 |
13 | 130312116 |
14 | 976c2810 |
15 | 5d394499 |
hex | 3be8f6de |
1005123294 has 96 divisors (see below), whose sum is σ = 2675911680. Its totient is φ = 266245056.
The previous prime is 1005123281. The next prime is 1005123311. The reversal of 1005123294 is 4923215001.
It is a super-2 number, since 2×10051232942 = 2020545672282820872, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108052 + ... + 116984.
It is an arithmetic number, because the mean of its divisors is an integer number (27874080).
Almost surely, 21005123294 is an apocalyptic number.
1005123294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1005123294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337955840).
1005123294 is an abundant number, since it is smaller than the sum of its proper divisors (1670788386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1005123294 is a wasteful number, since it uses less digits than its factorization.
1005123294 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9014 (or 9011 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The square root of 1005123294 is about 31703.6795025435. The cubic root of 1005123294 is about 1001.7048564793.
Adding to 1005123294 its reverse (4923215001), we get a palindrome (5928338295).
The spelling of 1005123294 in words is "one billion, five million, one hundred twenty-three thousand, two hundred ninety-four".
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