Base | Representation |
---|---|
bin | 10111110111011… |
… | …010001010010000 |
3 | 1000220102110222011 |
4 | 113313122022100 |
5 | 1310000313130 |
6 | 103421552304 |
7 | 12631231654 |
oct | 2767321220 |
9 | 1026373864 |
10 | 400401040 |
11 | 19601a256 |
12 | b2115694 |
13 | 64c51cc0 |
14 | 3b26aa64 |
15 | 2524252a |
hex | 17dda290 |
400401040 has 40 divisors (see below), whose sum is σ = 1002545208. Its totient is φ = 147840000.
The previous prime is 400401031. The next prime is 400401049. The reversal of 400401040 is 40104004.
It is a happy number.
400401040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (400401031) and next prime (400401049).
It can be written as a sum of positive squares in 4 ways, for example, as 21086464 + 379314576 = 4592^2 + 19476^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a self number, because there is not a number n which added to its sum of digits gives 400401040.
It is not an unprimeable number, because it can be changed into a prime (400401049) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191461 + ... + 193540.
Almost surely, 2400401040 is an apocalyptic number.
400401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
400401040 is an abundant number, since it is smaller than the sum of its proper divisors (602144168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
400401040 is a wasteful number, since it uses less digits than its factorization.
400401040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 385027 (or 385021 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 400401040 is about 20010.0234882421. The cubic root of 400401040 is about 737.0524581456.
Adding to 400401040 its reverse (40104004), we get a palindrome (440505044).
The spelling of 400401040 in words is "four hundred million, four hundred one thousand, forty".
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