| Base | Representation |
|---|---|
| bin | 101101001100… |
| … | …1010110010000 |
| 3 | 1122120220212200 |
| 4 | 1122121112100 |
| 5 | 22031244114 |
| 6 | 2203523200 |
| 7 | 405263556 |
| oct | 132312620 |
| 9 | 48526780 |
| 10 | 23696784 |
| 11 | 12415821 |
| 12 | 7b29500 |
| 13 | 4ba8c87 |
| 14 | 320bbd6 |
| 15 | 2131409 |
| hex | 1699590 |
23696784 has 90 divisors (see below), whose sum is σ = 68659110. Its totient is φ = 7628544.
The previous prime is 23696773. The next prime is 23696837. The reversal of 23696784 is 48769632.
It can be written as a sum of positive squares in only one way, i.e., 17040384 + 6656400 = 4128^2 + 2580^2 .
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
Its product of digits (435456) is a multiple of the sum of its prime factors (189).
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 266212 + ... + 266300.
It is an arithmetic number, because the mean of its divisors is an integer number (762879).
Almost surely, 223696784 is an apocalyptic number.
23696784 is a gapful number since it is divisible by the number (24) 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 23696784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34329555).
23696784 is an abundant number, since it is smaller than the sum of its proper divisors (44962326).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23696784 is a wasteful number, since it uses less digits than its factorization.
23696784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 137 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 23696784 is about 4867.9342641412. The cubic root of 23696784 is about 287.2300033573.
It can be divided in two parts, 236 and 96784, that added together give a triangular number (97020 = T440).
The spelling of 23696784 in words is "twenty-three million, six hundred ninety-six thousand, seven hundred eighty-four".
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