Base | Representation |
---|---|
bin | 101101100100… |
… | …1010010101000 |
3 | 1122221220020212 |
4 | 1123021102220 |
5 | 22104040120 |
6 | 2212040252 |
7 | 410042234 |
oct | 133112250 |
9 | 48856225 |
10 | 23893160 |
11 | 1253a315 |
12 | 8003088 |
13 | 4c47485 |
14 | 325d5c4 |
15 | 216e6c5 |
hex | 16c94a8 |
23893160 has 64 divisors (see below), whose sum is σ = 58378320. Its totient is φ = 8765440.
The previous prime is 23893153. The next prime is 23893217. The reversal of 23893160 is 6139832.
It can be written as a sum of positive squares in 8 ways, for example, as 13147876 + 10745284 = 3626^2 + 3278^2 .
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 27452 + ... + 28308.
Almost surely, 223893160 is an apocalyptic number.
23893160 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 23893160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29189160).
23893160 is an abundant number, since it is smaller than the sum of its proper divisors (34485160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23893160 is a wasteful number, since it uses less digits than its factorization.
23893160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 926 (or 922 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 32.
The square root of 23893160 is about 4888.0630110505. The cubic root of 23893160 is about 288.0212497181.
The spelling of 23893160 in words is "twenty-three million, eight hundred ninety-three thousand, one hundred sixty".
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