Base | Representation |
---|---|
bin | 1000110000000… |
… | …1101010011000 |
3 | 2120001220111100 |
4 | 2030001222120 |
5 | 33344110333 |
6 | 3350431400 |
7 | 624001254 |
oct | 214015230 |
9 | 76056440 |
10 | 36706968 |
11 | 197a1541 |
12 | 10362560 |
13 | 77b29cc |
14 | 4c37264 |
15 | 3351213 |
hex | 2301a98 |
36706968 has 48 divisors (see below), whose sum is σ = 101111400. Its totient is φ = 12026880.
The previous prime is 36706963. The next prime is 36706987. The reversal of 36706968 is 86960763.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36706963) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73 + ... + 8568.
Almost surely, 236706968 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 36706968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50555700).
36706968 is an abundant number, since it is smaller than the sum of its proper divisors (64404432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36706968 is a wasteful number, since it uses less digits than its factorization.
36706968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8712 (or 8705 counting only the distinct ones).
The product of its (nonzero) digits is 326592, while the sum is 45.
The square root of 36706968 is about 6058.6275673621. The cubic root of 36706968 is about 332.3401700411.
The spelling of 36706968 in words is "thirty-six million, seven hundred six thousand, nine hundred sixty-eight".
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