| Base | Representation |
|---|---|
| bin | 100011110001110… |
| … | …0100000101110000 |
| 3 | 10002122221222112120 |
| 4 | 1013203210011300 |
| 5 | 4424312131300 |
| 6 | 315042554240 |
| 7 | 41515061106 |
| oct | 10743440560 |
| 9 | 3078858476 |
| 10 | 1200505200 |
| 11 | 566721364 |
| 12 | 296068980 |
| 13 | 16194040b |
| 14 | b5621c76 |
| 15 | 705da3a0 |
| hex | 478e4170 |
1200505200 has 120 divisors (see below), whose sum is σ = 3853348608. Its totient is φ = 319491840.
The previous prime is 1200505157. The next prime is 1200505211. The reversal of 1200505200 is 25050021.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1200505200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087849 + ... + 1088951.
Almost surely, 21200505200 is an apocalyptic number.
1200505200 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 1200505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926674304).
1200505200 is an abundant number, since it is smaller than the sum of its proper divisors (2652843408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200505200 is a wasteful number, since it uses less digits than its factorization.
1200505200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 15.
The square root of 1200505200 is about 34648.3073179629. The cubic root of 1200505200 is about 1062.8076746793.
Adding to 1200505200 its reverse (25050021), we get a palindrome (1225555221).
It can be divided in two parts, 120050 and 5200, that added together give a triangular number (125250 = T500).
The spelling of 1200505200 in words is "one billion, two hundred million, five hundred five thousand, two hundred".
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