Base | Representation |
---|---|
bin | 101111010011… |
… | …011001001000 |
3 | 212022222212200 |
4 | 233103121020 |
5 | 11133301300 |
6 | 1121440200 |
7 | 210254121 |
oct | 57233110 |
9 | 25288780 |
10 | 12400200 |
11 | 6aaa4aa |
12 | 41a0060 |
13 | 27521c7 |
14 | 190b048 |
15 | 114e200 |
hex | bd3648 |
12400200 has 108 divisors (see below), whose sum is σ = 42151785. Its totient is φ = 3266880.
The previous prime is 12400183. The next prime is 12400231. The reversal of 12400200 is 200421.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
12400200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 12152196 + 248004 = 3486^2 + 498^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2490.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149359 + ... + 149441.
Almost surely, 212400200 is an apocalyptic number.
12400200 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 12400200
12400200 is an abundant number, since it is smaller than the sum of its proper divisors (29751585).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12400200 is a wasteful number, since it uses less digits than its factorization.
12400200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 188 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 12400200 is about 3521.3917703090. The cubic root of 12400200 is about 231.4601498486.
Adding to 12400200 its reverse (200421), we get a palindrome (12600621).
The spelling of 12400200 in words is "twelve million, four hundred thousand, two hundred".
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