Base | Representation |
---|---|
bin | 1001101000011… |
… | …1100010010000 |
3 | 2211000120210211 |
4 | 2122013202100 |
5 | 40320313130 |
6 | 4001533504 |
7 | 1000255201 |
oct | 232074220 |
9 | 84016724 |
10 | 40401040 |
11 | 20894999 |
12 | 11644294 |
13 | 84a7254 |
14 | 55195a8 |
15 | 3830a2a |
hex | 2687890 |
40401040 has 40 divisors (see below), whose sum is σ = 96478200. Its totient is φ = 15722496.
The previous prime is 40401013. The next prime is 40401043. The reversal of 40401040 is 4010404.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 36385024 = 2004^2 + 6032^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a self number, because there is not a number n which added to its sum of digits gives 40401040.
It is not an unprimeable number, because it can be changed into a prime (40401043) 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, 3865 + ... + 9784.
It is an arithmetic number, because the mean of its divisors is an integer number (2411955).
Almost surely, 240401040 is an apocalyptic number.
40401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
40401040 is an abundant number, since it is smaller than the sum of its proper divisors (56077160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40401040 is a wasteful number, since it uses less digits than its factorization.
40401040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13699 (or 13693 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 40401040 is about 6356.1812434826. The cubic root of 40401040 is about 343.1343386609.
Adding to 40401040 its reverse (4010404), we get a palindrome (44411444).
It can be divided in two parts, 404010 and 40, that multiplied together give a square (16160400 = 40202).
The spelling of 40401040 in words is "forty million, four hundred one thousand, forty".
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