Base | Representation |
---|---|
bin | 111011110101111… |
… | …111111011000000 |
3 | 2120222020001110000 |
4 | 323311333323000 |
5 | 4024011324300 |
6 | 243343240000 |
7 | 33610645233 |
oct | 7365777300 |
9 | 2528201400 |
10 | 1004011200 |
11 | 475813525 |
12 | 2402a9000 |
13 | 130012b8a |
14 | 974b341a |
15 | 5d224c00 |
hex | 3bd7fec0 |
1004011200 has 420 divisors, whose sum is σ = 3780527872. Its totient is φ = 261273600.
The previous prime is 1004011199. The next prime is 1004011223. The reversal of 1004011200 is 21104001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7905537 + ... + 7905663.
Almost surely, 21004011200 is an apocalyptic number.
1004011200 is a gapful number since it is divisible by the number (10) 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 1004011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890263936).
1004011200 is an abundant number, since it is smaller than the sum of its proper divisors (2776516672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004011200 is a wasteful number, since it uses less digits than its factorization.
1004011200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 222 (or 198 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1004011200 is about 31686.1357694497. The cubic root of 1004011200 is about 1001.3352828927.
Adding to 1004011200 its reverse (21104001), we get a palindrome (1025115201).
The spelling of 1004011200 in words is "one billion, four million, eleven thousand, two hundred".
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