Base | Representation |
---|---|
bin | 101101010101… |
… | …0100000000000 |
3 | 1122201111020202 |
4 | 1122222200000 |
5 | 22041021130 |
6 | 2205224332 |
7 | 406005443 |
oct | 132524000 |
9 | 48644222 |
10 | 23767040 |
11 | 12463590 |
12 | 7b620a8 |
13 | 4c01c4b |
14 | 322965a |
15 | 2147145 |
hex | 16aa800 |
23767040 has 96 divisors (see below), whose sum is σ = 62506080. Its totient is φ = 8601600.
The previous prime is 23767039. The next prime is 23767069. The reversal of 23767040 is 4076732.
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 23766994 and 23767012.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112535 + ... + 112745.
It is an arithmetic number, because the mean of its divisors is an integer number (651105).
Almost surely, 223767040 is an apocalyptic number.
23767040 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 23767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31253040).
23767040 is an abundant number, since it is smaller than the sum of its proper divisors (38739040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23767040 is a wasteful number, since it uses less digits than its factorization.
23767040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 249 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 7056, while the sum is 29.
The square root of 23767040 is about 4875.1451260450. The cubic root of 23767040 is about 287.5135822191.
The spelling of 23767040 in words is "twenty-three million, seven hundred sixty-seven thousand, forty".
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