| Base | Representation |
|---|---|
| bin | 1000101010111… |
| … | …0010000011100 |
| 3 | 2112102112212110 |
| 4 | 2022232100130 |
| 5 | 33302142330 |
| 6 | 3335234020 |
| 7 | 621046254 |
| oct | 212562034 |
| 9 | 75375773 |
| 10 | 36365340 |
| 11 | 19588900 |
| 12 | 10218910 |
| 13 | 76c336b |
| 14 | 4b88964 |
| 15 | 32d4db0 |
| hex | 22ae41c |
36365340 has 72 divisors (see below), whose sum is σ = 111943440. Its totient is φ = 8814080.
The previous prime is 36365327. The next prime is 36365347. The reversal of 36365340 is 4356363.
It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 36365298 and 36365307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36365347) 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 23 ways as a sum of consecutive naturals, for example, 4756 + ... + 9764.
It is an arithmetic number, because the mean of its divisors is an integer number (1554770).
Almost surely, 236365340 is an apocalyptic number.
36365340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36365340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55971720).
36365340 is an abundant number, since it is smaller than the sum of its proper divisors (75578100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36365340 is a wasteful number, since it uses less digits than its factorization.
36365340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5043 (or 5030 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 30.
The square root of 36365340 is about 6030.3681479658. The cubic root of 36365340 is about 331.3059362047.
It can be divided in two parts, 363 and 65340, that added together give a triangular number (65703 = T362).
The spelling of 36365340 in words is "thirty-six million, three hundred sixty-five thousand, three hundred forty".
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