Base | Representation |
---|---|
bin | 1000101010111… |
… | …0101010000100 |
3 | 2112102122010012 |
4 | 2022232222010 |
5 | 33302220410 |
6 | 3335245352 |
7 | 621054116 |
oct | 212565204 |
9 | 75378105 |
10 | 36366980 |
11 | 1958a061 |
12 | 10219858 |
13 | 76c4030 |
14 | 4b893b6 |
15 | 32d5605 |
hex | 22aea84 |
36366980 has 48 divisors (see below), whose sum is σ = 83630064. Its totient is φ = 13201920.
The previous prime is 36366971. The next prime is 36367003. The reversal of 36366980 is 8966363.
It can be written as a sum of positive squares in 8 ways, for example, as 14258176 + 22108804 = 3776^2 + 4702^2 .
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 15 ways as a sum of consecutive naturals, for example, 14714 + ... + 17006.
It is an arithmetic number, because the mean of its divisors is an integer number (1742293).
Almost surely, 236366980 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 36366980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41815032).
36366980 is an abundant number, since it is smaller than the sum of its proper divisors (47263084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36366980 is a wasteful number, since it uses less digits than its factorization.
36366980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2376 (or 2374 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 41.
The square root of 36366980 is about 6030.5041248639. The cubic root of 36366980 is about 331.3109165291.
The spelling of 36366980 in words is "thirty-six million, three hundred sixty-six thousand, nine hundred eighty".
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