Base | Representation |
---|---|
bin | 101101100110… |
… | …0110111000100 |
3 | 1122222122022100 |
4 | 1123030313010 |
5 | 22110022110 |
6 | 2212232100 |
7 | 410132661 |
oct | 133146704 |
9 | 48878270 |
10 | 23907780 |
11 | 1254a2a6 |
12 | 800b630 |
13 | 4c51020 |
14 | 3264a68 |
15 | 2173bc0 |
hex | 16ccdc4 |
23907780 has 144 divisors (see below), whose sum is σ = 82830384. Its totient is φ = 5529600.
The previous prime is 23907769. The next prime is 23907781. The reversal of 23907780 is 8770932.
It can be written as a sum of positive squares in 8 ways, for example, as 112896 + 23794884 = 336^2 + 4878^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23907781) 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 47 ways as a sum of consecutive naturals, for example, 39480 + ... + 40080.
It is an arithmetic number, because the mean of its divisors is an integer number (575211).
Almost surely, 223907780 is an apocalyptic number.
23907780 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 23907780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41415192).
23907780 is an abundant number, since it is smaller than the sum of its proper divisors (58922604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23907780 is a wasteful number, since it uses less digits than its factorization.
23907780 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 23907780 is about 4889.5582622564. The cubic root of 23907780 is about 288.0799835719.
The spelling of 23907780 in words is "twenty-three million, nine hundred seven thousand, seven hundred eighty".
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