Base | Representation |
---|---|
bin | 111100010110000… |
… | …010110000100000 |
3 | 2121120000211101102 |
4 | 330112002300200 |
5 | 4033134131144 |
6 | 244243253532 |
7 | 34042232543 |
oct | 7426026040 |
9 | 2546024342 |
10 | 1012411424 |
11 | 47a530762 |
12 | 24307a2a8 |
13 | 13199451b |
14 | 9865c85a |
15 | 5dd33b4e |
hex | 3c582c20 |
1012411424 has 48 divisors (see below), whose sum is σ = 2105030592. Its totient is φ = 478334208.
The previous prime is 1012411403. The next prime is 1012411441. The reversal of 1012411424 is 4241142101.
It is a junction number, because it is equal to n+sod(n) for n = 1012411396 and 1012411405.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52802 + ... + 69374.
It is an arithmetic number, because the mean of its divisors is an integer number (43854804).
Almost surely, 21012411424 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 1012411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052515296).
1012411424 is an abundant number, since it is smaller than the sum of its proper divisors (1092619168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012411424 is a wasteful number, since it uses less digits than its factorization.
1012411424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16689 (or 16681 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
The square root of 1012411424 is about 31818.4132853918. The cubic root of 1012411424 is about 1004.1201424456.
Adding to 1012411424 its reverse (4241142101), we get a palindrome (5253553525).
The spelling of 1012411424 in words is "one billion, twelve million, four hundred eleven thousand, four hundred twenty-four".
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