| Base | Representation |
|---|---|
| bin | 100011100111… |
| … | …0100101000100 |
| 3 | 1022010122002100 |
| 4 | 1013032211010 |
| 5 | 14240000230 |
| 6 | 1504112100 |
| 7 | 314465100 |
| oct | 107164504 |
| 9 | 38118070 |
| 10 | 18671940 |
| 11 | a5a3561 |
| 12 | 6305630 |
| 13 | 3b39ab1 |
| 14 | 26a0900 |
| 15 | 198c660 |
| hex | 11ce944 |
18671940 has 216 divisors, whose sum is σ = 69090840. Its totient is φ = 4064256.
The previous prime is 18671923. The next prime is 18671941. The reversal of 18671940 is 4917681.
18671940 is a nontrivial binomial coefficient, being equal to C(147, 4).
It can be written as a sum of positive squares in 4 ways, for example, as 2414916 + 16257024 = 1554^2 + 4032^2 .
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 = 18671895 and 18671904.
It is not an unprimeable number, because it can be changed into a prime (18671941) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255744 + ... + 255816.
It is an arithmetic number, because the mean of its divisors is an integer number (319865).
Almost surely, 218671940 is an apocalyptic number.
18671940 is a gapful number since it is divisible by the number (10) 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 18671940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34545420).
18671940 is an abundant number, since it is smaller than the sum of its proper divisors (50418900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18671940 is a wasteful number, since it uses less digits than its factorization.
18671940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 18671940 is about 4321.1040255935. The cubic root of 18671940 is about 265.2954578115.
The spelling of 18671940 in words is "eighteen million, six hundred seventy-one thousand, nine hundred forty".
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