Base | Representation |
---|---|
bin | 10111110101111… |
… | …010111111001010 |
3 | 1000212200200020000 |
4 | 113311322333022 |
5 | 1304400324320 |
6 | 103405343430 |
7 | 12625016304 |
oct | 2765727712 |
9 | 1025620200 |
10 | 400011210 |
11 | 195883385 |
12 | b1b67b76 |
13 | 64b46731 |
14 | 3b1a8974 |
15 | 251b6c90 |
hex | 17d7afca |
400011210 has 80 divisors (see below), whose sum is σ = 1112740200. Its totient is φ = 102985344.
The previous prime is 400011203. The next prime is 400011217. The reversal of 400011210 is 12110004.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (400011203) and next prime (400011217).
It can be written as a sum of positive squares in 4 ways, for example, as 367143921 + 32867289 = 19161^2 + 5733^2 .
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 = 400011192 and 400011201.
It is not an unprimeable number, because it can be changed into a prime (400011217) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14976 + ... + 32004.
Almost surely, 2400011210 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 400011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556370100).
400011210 is an abundant number, since it is smaller than the sum of its proper divisors (712728990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
400011210 is a wasteful number, since it uses less digits than its factorization.
400011210 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17077 (or 17068 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 400011210 is about 20000.2802480365. The cubic root of 400011210 is about 736.8131826626.
Adding to 400011210 its reverse (12110004), we get a palindrome (412121214).
The spelling of 400011210 in words is "four hundred million, eleven thousand, two hundred ten".
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