Base | Representation |
---|---|
bin | 111011111011000… |
… | …101010110001000 |
3 | 2121001201202220000 |
4 | 323323011112020 |
5 | 4024332003021 |
6 | 243432003000 |
7 | 33625166316 |
oct | 7373052610 |
9 | 2531652800 |
10 | 1005344136 |
11 | 476543a25 |
12 | 240830460 |
13 | 13038b7b4 |
14 | 9773d0b6 |
15 | 5d3d9b26 |
hex | 3bec5588 |
1005344136 has 80 divisors (see below), whose sum is σ = 2906787840. Its totient is φ = 324298080.
The previous prime is 1005344029. The next prime is 1005344143. The reversal of 1005344136 is 6314435001.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4936 + ... + 45111.
It is an arithmetic number, because the mean of its divisors is an integer number (36334848).
Almost surely, 21005344136 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 1005344136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453393920).
1005344136 is an abundant number, since it is smaller than the sum of its proper divisors (1901443704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1005344136 is a wasteful number, since it uses less digits than its factorization.
1005344136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50096 (or 50083 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 1005344136 is about 31707.1622192841. The cubic root of 1005344136 is about 1001.7782147447.
Adding to 1005344136 its reverse (6314435001), we get a palindrome (7319779137).
The spelling of 1005344136 in words is "one billion, five million, three hundred forty-four thousand, one hundred thirty-six".
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