Base | Representation |
---|---|
bin | 11001000010001… |
… | …01110100110000 |
3 | 112122011011111020 |
4 | 30201011310300 |
5 | 412230014300 |
6 | 32501015440 |
7 | 5126660253 |
oct | 1441056460 |
9 | 478134436 |
10 | 210001200 |
11 | a85a4012 |
12 | 5a3b4580 |
13 | 34679586 |
14 | 1dc6709a |
15 | 136828a0 |
hex | c845d30 |
210001200 has 120 divisors (see below), whose sum is σ = 678081600. Its totient is φ = 55553280.
The previous prime is 210001199. The next prime is 210001219. The reversal of 210001200 is 2100012.
It is a happy number.
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 (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
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 23 ways as a sum of consecutive naturals, for example, 166171 + ... + 167429.
It is an arithmetic number, because the mean of its divisors is an integer number (5650680).
Almost surely, 2210001200 is an apocalyptic number.
210001200 is a gapful number since it is divisible by the number (20) 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 210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339040800).
210001200 is an abundant number, since it is smaller than the sum of its proper divisors (468080400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210001200 is a wasteful number, since it uses less digits than its factorization.
210001200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1419 (or 1408 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 210001200 is about 14491.4181500639. The cubic root of 210001200 is about 594.3933274498.
Adding to 210001200 its reverse (2100012), we get a palindrome (212101212).
Multiplying 210001200 by its reverse (2100012), we get a square (441005040014400 = 210001202).
210001200 divided by its reverse (2100012) gives a square (100 = 102).
The spelling of 210001200 in words is "two hundred ten million, one thousand, two hundred".
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