Base | Representation |
---|---|
bin | 101100110000… |
… | …0100000000000 |
3 | 1122011002110200 |
4 | 1121200200000 |
5 | 22001321221 |
6 | 2154525200 |
7 | 403303656 |
oct | 131404000 |
9 | 48132420 |
10 | 23463936 |
11 | 12276891 |
12 | 7a36800 |
13 | 4b26cb2 |
14 | 318add6 |
15 | 20d7426 |
hex | 1660800 |
23463936 has 144 divisors (see below), whose sum is σ = 72399600. Its totient is φ = 7299072.
The previous prime is 23463919. The next prime is 23463941. The reversal of 23463936 is 63936432.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×234639362 = 1101112585224192, which contains 22 as substring.
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 23463936.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350175 + ... + 350241.
It is an arithmetic number, because the mean of its divisors is an integer number (502775).
Almost surely, 223463936 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 23463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36199800).
23463936 is an abundant number, since it is smaller than the sum of its proper divisors (48935664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23463936 is a wasteful number, since it uses less digits than its factorization.
23463936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114 (or 91 counting only the distinct ones).
The product of its digits is 69984, while the sum is 36.
The square root of 23463936 is about 4843.9587116325. The cubic root of 23463936 is about 286.2861172431.
The spelling of 23463936 in words is "twenty-three million, four hundred sixty-three thousand, nine hundred thirty-six".
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