Base | Representation |
---|---|
bin | 1000110011100… |
… | …0001001111000 |
3 | 2120111020200000 |
4 | 2030320021320 |
5 | 33423231133 |
6 | 3355313000 |
7 | 625621062 |
oct | 214701170 |
9 | 76436600 |
10 | 36930168 |
11 | 19934200 |
12 | 1044b760 |
13 | 7860492 |
14 | 4c94732 |
15 | 3397413 |
hex | 2338278 |
36930168 has 144 divisors (see below), whose sum is σ = 114736440. Its totient is φ = 11119680.
The previous prime is 36930151. The next prime is 36930191. The reversal of 36930168 is 86103963.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 235146 + ... + 235302.
Almost surely, 236930168 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36930168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57368220).
36930168 is an abundant number, since it is smaller than the sum of its proper divisors (77806272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36930168 is a wasteful number, since it uses less digits than its factorization.
36930168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The square root of 36930168 is about 6077.0196642762. The cubic root of 36930168 is about 333.0124173602.
The spelling of 36930168 in words is "thirty-six million, nine hundred thirty thousand, one hundred sixty-eight".
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