Base | Representation |
---|---|
bin | 1000101010111… |
… | …1001001010000 |
3 | 2112102201212010 |
4 | 2022233021100 |
5 | 33302301401 |
6 | 3335302520 |
7 | 621063000 |
oct | 212571120 |
9 | 75381763 |
10 | 36368976 |
11 | 19590606 |
12 | 1021aa40 |
13 | 76c4c07 |
14 | 4b8a000 |
15 | 32d5ed6 |
hex | 22af250 |
36368976 has 120 divisors (see below), whose sum is σ = 111947200. Its totient is φ = 10170048.
The previous prime is 36368953. The next prime is 36368977. The reversal of 36368976 is 67986363.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
Its product of digits (979776) is a multiple of the sum of its prime factors (126).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36368977) 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, 773785 + ... + 773831.
Almost surely, 236368976 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 36368976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55973600).
36368976 is an abundant number, since it is smaller than the sum of its proper divisors (75578224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36368976 is an equidigital number, since it uses as much as digits as its factorization.
36368976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 59 counting only the distinct ones).
The product of its digits is 979776, while the sum is 48.
The square root of 36368976 is about 6030.6696145619. The cubic root of 36368976 is about 331.3169777463.
Multiplying 36368976 by its product of digits (979776), we get a square (35633449829376 = 59693762).
The spelling of 36368976 in words is "thirty-six million, three hundred sixty-eight thousand, nine hundred seventy-six".
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