Base | Representation |
---|---|
bin | 101101001100… |
… | …0000111110000 |
3 | 1122120122222121 |
4 | 1122120013300 |
5 | 22031114020 |
6 | 2203444024 |
7 | 405243121 |
oct | 132300760 |
9 | 48518877 |
10 | 23691760 |
11 | 12411a74 |
12 | 7b26614 |
13 | 4ba68c1 |
14 | 320a048 |
15 | 212ebaa |
hex | 16981f0 |
23691760 has 40 divisors (see below), whose sum is σ = 56264256. Its totient is φ = 9273600.
The previous prime is 23691757. The next prime is 23691791. The reversal of 23691760 is 6719632.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-2 number, since 2×236917602 = 1122598983795200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.
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 7 ways as a sum of consecutive naturals, for example, 610 + ... + 6910.
Almost surely, 223691760 is an apocalyptic number.
23691760 is a gapful number since it is divisible by the number (20) 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 23691760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28132128).
23691760 is an abundant number, since it is smaller than the sum of its proper divisors (32572496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23691760 is a wasteful number, since it uses less digits than its factorization.
23691760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6361 (or 6355 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 34.
The square root of 23691760 is about 4867.4182068115. The cubic root of 23691760 is about 287.2097031971.
The spelling of 23691760 in words is "twenty-three million, six hundred ninety-one thousand, seven hundred sixty".
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