Base | Representation |
---|---|
bin | 1000100111100… |
… | …0011101000111 |
3 | 2112000100120111 |
4 | 2021320131013 |
5 | 33223114332 |
6 | 3330413451 |
7 | 616140625 |
oct | 211703507 |
9 | 75010514 |
10 | 36144967 |
11 | 19448281 |
12 | 10131287 |
13 | 7646c71 |
14 | 4b2c515 |
15 | 328e947 |
hex | 2278747 |
36144967 has 8 divisors (see below), whose sum is σ = 37316000. Its totient is φ = 34984224.
The previous prime is 36144931. The next prime is 36144989. The reversal of 36144967 is 76944163.
36144967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a 5-Lehmer number, since φ(36144967) divides (36144967-1)5.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-36144967 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36144917) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4909 + ... + 9817.
It is an arithmetic number, because the mean of its divisors is an integer number (4664500).
Almost surely, 236144967 is an apocalyptic number.
36144967 is a gapful number since it is divisible by the number (37) formed by its first and last digit.
36144967 is the 4909-th pentagonal number.
36144967 is a deficient number, since it is larger than the sum of its proper divisors (1171033).
36144967 is a wasteful number, since it uses less digits than its factorization.
36144967 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5145.
The product of its digits is 108864, while the sum is 40.
The square root of 36144967 is about 6012.0684460508. The cubic root of 36144967 is about 330.6353447115.
The spelling of 36144967 in words is "thirty-six million, one hundred forty-four thousand, nine hundred sixty-seven".
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