Base | Representation |
---|---|
bin | 101101010010… |
… | …1010111110000 |
3 | 1122200102102200 |
4 | 1122211113300 |
5 | 22034333112 |
6 | 2204543200 |
7 | 405560262 |
oct | 132452760 |
9 | 48612380 |
10 | 23746032 |
11 | 12449822 |
12 | 7b51b00 |
13 | 4bc550b |
14 | 3221b32 |
15 | 2140cdc |
hex | 16a55f0 |
23746032 has 60 divisors (see below), whose sum is σ = 67143024. Its totient is φ = 7833600.
The previous prime is 23746013. The next prime is 23746033. The reversal of 23746032 is 23064732.
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 23745987 and 23746005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23746033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14032 + ... + 15632.
Almost surely, 223746032 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 23746032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33571512).
23746032 is an abundant number, since it is smaller than the sum of its proper divisors (43396992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23746032 is a wasteful number, since it uses less digits than its factorization.
23746032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1718 (or 1709 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 23746032 is about 4872.9900471887. The cubic root of 23746032 is about 287.4288448987.
The spelling of 23746032 in words is "twenty-three million, seven hundred forty-six thousand, thirty-two".
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