Base | Representation |
---|---|
bin | 101011111110… |
… | …0101100100000 |
3 | 1121101022200221 |
4 | 1113330230200 |
5 | 21400231021 |
6 | 2142052424 |
7 | 366652066 |
oct | 127745440 |
9 | 47338627 |
10 | 23055136 |
11 | 12017735 |
12 | 787a114 |
13 | 4a12bc0 |
14 | 30c2036 |
15 | 2056241 |
hex | 15fcb20 |
23055136 has 48 divisors (see below), whose sum is σ = 49332024. Its totient is φ = 10543104.
The previous prime is 23055127. The next prime is 23055139. The reversal of 23055136 is 63155032.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 10523536 = 3540^2 + 3244^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 23055136.
It is not an unprimeable number, because it can be changed into a prime (23055139) 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 7 ways as a sum of consecutive naturals, for example, 65136 + ... + 65488.
Almost surely, 223055136 is an apocalyptic number.
23055136 is a gapful number since it is divisible by the number (26) 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 23055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24666012).
23055136 is an abundant number, since it is smaller than the sum of its proper divisors (26276888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23055136 is a wasteful number, since it uses less digits than its factorization.
23055136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 533 (or 525 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 25.
The square root of 23055136 is about 4801.5764078061. The cubic root of 23055136 is about 284.6137622203.
The spelling of 23055136 in words is "twenty-three million, fifty-five thousand, one hundred thirty-six".
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