Base | Representation |
---|---|
bin | 10111111010011… |
… | …111101010011010 |
3 | 1000221221120200000 |
4 | 113322133222122 |
5 | 1310202210020 |
6 | 103451153430 |
7 | 12641141325 |
oct | 2772375232 |
9 | 1027846600 |
10 | 401210010 |
11 | 196522023 |
12 | b2445876 |
13 | 65176296 |
14 | 3b3db7bc |
15 | 25352090 |
hex | 17e9fa9a |
401210010 has 96 divisors (see below), whose sum is σ = 1108441152. Its totient is φ = 104353920.
The previous prime is 401209961. The next prime is 401210027. The reversal of 401210010 is 10012104.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 401209974 and 401210001.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97617 + ... + 101643.
It is an arithmetic number, because the mean of its divisors is an integer number (11546262).
Almost surely, 2401210010 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 401210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554220576).
401210010 is an abundant number, since it is smaller than the sum of its proper divisors (707231142).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401210010 is a wasteful number, since it uses less digits than its factorization.
401210010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4090 (or 4078 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 401210010 is about 20030.2274075958. The cubic root of 401210010 is about 737.5485043269.
Adding to 401210010 its reverse (10012104), we get a palindrome (411222114).
The spelling of 401210010 in words is "four hundred one million, two hundred ten thousand, ten".
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