Base | Representation |
---|---|
bin | 101101101000… |
… | …0110001110000 |
3 | 1200000110022120 |
4 | 1123100301300 |
5 | 22111030244 |
6 | 2212434240 |
7 | 410230521 |
oct | 133206160 |
9 | 50013276 |
10 | 23923824 |
11 | 12560361 |
12 | 8018980 |
13 | 4c58412 |
14 | 326a848 |
15 | 2178819 |
hex | 16d0c70 |
23923824 has 80 divisors (see below), whose sum is σ = 64555392. Its totient is φ = 7628544.
The previous prime is 23923819. The next prime is 23923843. The reversal of 23923824 is 42832932.
Its product of digits (20736) is a multiple of the sum of its prime divisors (288).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 138202 + ... + 138374.
Almost surely, 223923824 is an apocalyptic number.
23923824 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 23923824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32277696).
23923824 is an abundant number, since it is smaller than the sum of its proper divisors (40631568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23923824 is a wasteful number, since it uses less digits than its factorization.
23923824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294 (or 288 counting only the distinct ones).
The product of its digits is 20736, while the sum is 33.
The square root of 23923824 is about 4891.1986261038. The cubic root of 23923824 is about 288.1444106014.
It can be divided in two parts, 2392 and 3824, that added together give a triangular number (6216 = T111).
The spelling of 23923824 in words is "twenty-three million, nine hundred twenty-three thousand, eight hundred twenty-four".
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