Base | Representation |
---|---|
bin | 101101011101… |
… | …1111111101000 |
3 | 1122212010112200 |
4 | 1122323333220 |
5 | 22100314241 |
6 | 2210540200 |
7 | 406424400 |
oct | 132737750 |
9 | 48763480 |
10 | 23838696 |
11 | 12502402 |
12 | 7b97660 |
13 | 4c2874b |
14 | 3247800 |
15 | 215d4b6 |
hex | 16bbfe8 |
23838696 has 144 divisors (see below), whose sum is σ = 78027300. Its totient is φ = 6547968.
The previous prime is 23838691. The next prime is 23838697. The reversal of 23838696 is 69683832.
It can be written as a sum of positive squares in 2 ways, for example, as 23328900 + 509796 = 4830^2 + 714^2 .
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 nude number because it is divisible by every one of its digits.
Its product of digits (373248) is a multiple of the sum of its prime factors (288).
It is not an unprimeable number, because it can be changed into a prime (23838691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102196 + ... + 102428.
Almost surely, 223838696 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 23838696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39013650).
23838696 is an abundant number, since it is smaller than the sum of its proper divisors (54188604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23838696 is a wasteful number, since it uses less digits than its factorization.
23838696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 288 (or 274 counting only the distinct ones).
The product of its digits is 373248, while the sum is 45.
The square root of 23838696 is about 4882.4887096644. The cubic root of 23838696 is about 287.8022369168.
The spelling of 23838696 in words is "twenty-three million, eight hundred thirty-eight thousand, six hundred ninety-six".
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