Base | Representation |
---|---|
bin | 101101101100… |
… | …0110001010000 |
3 | 1200002010020000 |
4 | 1123120301100 |
5 | 22113102220 |
6 | 2213250000 |
7 | 410425125 |
oct | 133306120 |
9 | 50063200 |
10 | 23956560 |
11 | 12582a11 |
12 | 8033900 |
13 | 4c6a2a4 |
14 | 327874c |
15 | 2183390 |
hex | 16d8c50 |
23956560 has 100 divisors (see below), whose sum is σ = 83227188. Its totient is φ = 6386688.
The previous prime is 23956531. The next prime is 23956561. The reversal of 23956560 is 6565932.
23956560 is a `hidden beast` number, since 2 + 3 + 95 + 6 + 560 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 18974736 = 2232^2 + 4356^2 .
It is a super-3 number, since 3×239565603 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23956561) 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 19 ways as a sum of consecutive naturals, for example, 4632 + ... + 8328.
Almost surely, 223956560 is an apocalyptic number.
23956560 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 23956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41613594).
23956560 is an abundant number, since it is smaller than the sum of its proper divisors (59270628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23956560 is a wasteful number, since it uses less digits than its factorization.
23956560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3722 (or 3707 counting only the distinct ones).
The product of its (nonzero) digits is 48600, while the sum is 36.
The square root of 23956560 is about 4894.5439011209. The cubic root of 23956560 is about 288.2757775086.
The spelling of 23956560 in words is "twenty-three million, nine hundred fifty-six thousand, five hundred sixty".
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