Base | Representation |
---|---|
bin | 1000100110100… |
… | …1011000100000 |
3 | 2111220012220000 |
4 | 2021221120200 |
5 | 33214130412 |
6 | 3325220000 |
7 | 615462633 |
oct | 211513040 |
9 | 74805800 |
10 | 36083232 |
11 | 19405959 |
12 | 10101600 |
13 | 7624b33 |
14 | 4b13c1a |
15 | 327b4dc |
hex | 2269620 |
36083232 has 60 divisors (see below), whose sum is σ = 106127406. Its totient is φ = 12026880.
The previous prime is 36083227. The next prime is 36083237. The reversal of 36083232 is 23238063.
It is an interprime number because it is at equal distance from previous prime (36083227) and next prime (36083237).
It can be written as a sum of positive squares in only one way, i.e., 29550096 + 6533136 = 5436^2 + 2556^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 36083196 and 36083205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36083237) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4369 + ... + 9552.
Almost surely, 236083232 is an apocalyptic number.
36083232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
36083232 is an abundant number, since it is smaller than the sum of its proper divisors (70044174).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36083232 is a wasteful number, since it uses less digits than its factorization.
36083232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13943 (or 13926 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
The square root of 36083232 is about 6006.9319956197. The cubic root of 36083232 is about 330.4469975572.
It can be divided in two parts, 36083 and 232, that added together give a triangular number (36315 = T269).
The spelling of 36083232 in words is "thirty-six million, eighty-three thousand, two hundred thirty-two".
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