Base | Representation |
---|---|
bin | 101101010100… |
… | …0011110010100 |
3 | 1122201001212100 |
4 | 1122220132110 |
5 | 22040234430 |
6 | 2205122100 |
7 | 405642315 |
oct | 132503624 |
9 | 48631770 |
10 | 23758740 |
11 | 12458325 |
12 | 7b59330 |
13 | 4bcb235 |
14 | 322660c |
15 | 2144960 |
hex | 16a8794 |
23758740 has 72 divisors (see below), whose sum is σ = 75872160. Its totient is φ = 6001344.
The previous prime is 23758733. The next prime is 23758753. The reversal of 23758740 is 4785732.
23758740 is a `hidden beast` number, since 2 + 37 + 587 + 40 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23758695 and 23758704.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54 + ... + 6893.
It is an arithmetic number, because the mean of its divisors is an integer number (1053780).
Almost surely, 223758740 is an apocalyptic number.
23758740 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 23758740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37936080).
23758740 is an abundant number, since it is smaller than the sum of its proper divisors (52113420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23758740 is a wasteful number, since it uses less digits than its factorization.
23758740 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6981 (or 6976 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 36.
The square root of 23758740 is about 4874.2937950025. The cubic root of 23758740 is about 287.4801095250.
The spelling of 23758740 in words is "twenty-three million, seven hundred fifty-eight thousand, seven hundred forty".
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