Base | Representation |
---|---|
bin | 1000100101010… |
… | …1100100011100 |
3 | 2111202002120020 |
4 | 2021111210130 |
5 | 33204031301 |
6 | 3323352140 |
7 | 615004215 |
oct | 211254434 |
9 | 74662506 |
10 | 36002076 |
11 | 1935a990 |
12 | 10082650 |
13 | 75c6c06 |
14 | 4ad240c |
15 | 3262436 |
hex | 225591c |
36002076 has 48 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 10803520.
The previous prime is 36002063. The next prime is 36002077. The reversal of 36002076 is 67020063.
It is a super-2 number, since 2×360020762 = 2592298952619552, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36002077) 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 15 ways as a sum of consecutive naturals, for example, 12850 + ... + 15398.
It is an arithmetic number, because the mean of its divisors is an integer number (1927800).
Almost surely, 236002076 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 36002076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).
36002076 is an abundant number, since it is smaller than the sum of its proper divisors (56532324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36002076 is a wasteful number, since it uses less digits than its factorization.
36002076 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2674 (or 2672 counting only the distinct ones).
The product of its (nonzero) digits is 1512, while the sum is 24.
The square root of 36002076 is about 6000.1729975060. The cubic root of 36002076 is about 330.1990718054.
The spelling of 36002076 in words is "thirty-six million, two thousand, seventy-six".
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