Base | Representation |
---|---|
bin | 1001100100010… |
… | …1111000010100 |
3 | 2210111220220200 |
4 | 2121011320110 |
5 | 40233211431 |
6 | 3552100500 |
7 | 665055153 |
oct | 231057024 |
9 | 83456820 |
10 | 40132116 |
11 | 20720942 |
12 | 11534730 |
13 | 8411a1b |
14 | 548959a |
15 | 37caee6 |
hex | 2645e14 |
40132116 has 36 divisors (see below), whose sum is σ = 101660832. Its totient is φ = 13348944.
The previous prime is 40132093. The next prime is 40132117. The reversal of 40132116 is 61123104.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×401321162 = 3221173469274912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40132117) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 22431 + ... + 24153.
It is an arithmetic number, because the mean of its divisors is an integer number (2823912).
Almost surely, 240132116 is an apocalyptic number.
It is an amenable number.
40132116 is an abundant number, since it is smaller than the sum of its proper divisors (61528716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40132116 is a wasteful number, since it uses less digits than its factorization.
40132116 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2380 (or 2375 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 40132116 is about 6334.9913969949. The cubic root of 40132116 is about 342.3713008561.
The spelling of 40132116 in words is "forty million, one hundred thirty-two thousand, one hundred sixteen".
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