Base | Representation |
---|---|
bin | 101101000010… |
… | …1000100000000 |
3 | 1122102200220100 |
4 | 1122011010000 |
5 | 22021114241 |
6 | 2202042400 |
7 | 404466411 |
oct | 132050400 |
9 | 48380810 |
10 | 23613696 |
11 | 12369357 |
12 | 7aa9400 |
13 | 4b7a202 |
14 | 31c9808 |
15 | 21169b6 |
hex | 1685100 |
23613696 has 108 divisors (see below), whose sum is σ = 70176652. Its totient is φ = 7630848.
The previous prime is 23613691. The next prime is 23613703. The reversal of 23613696 is 69631632.
It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 10653696 = 3600^2 + 3264^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 23613696.
It is not an unprimeable number, because it can be changed into a prime (23613691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85110 + ... + 85386.
Almost surely, 223613696 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 23613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35088326).
23613696 is an abundant number, since it is smaller than the sum of its proper divisors (46562956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23613696 is a wasteful number, since it uses less digits than its factorization.
23613696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 336 (or 319 counting only the distinct ones).
The product of its digits is 34992, while the sum is 36.
The square root of 23613696 is about 4859.3925546307. The cubic root of 23613696 is about 286.8939055136.
The spelling of 23613696 in words is "twenty-three million, six hundred thirteen thousand, six hundred ninety-six".
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