Base | Representation |
---|---|
bin | 101011111000… |
… | …0011110000100 |
3 | 1121021210000021 |
4 | 1113300132010 |
5 | 21342130220 |
6 | 2141024524 |
7 | 366353101 |
oct | 127603604 |
9 | 47253007 |
10 | 23005060 |
11 | 11a93051 |
12 | 7855144 |
13 | 49c6180 |
14 | 30abaa8 |
15 | 20464aa |
hex | 15f0784 |
23005060 has 48 divisors (see below), whose sum is σ = 54302976. Its totient is φ = 8122752.
The previous prime is 23005057. The next prime is 23005061. The reversal of 23005060 is 6050032.
It is a super-3 number, since 3×230050603 (a number of 23 digits) contains 333 as substring.
23005060 is a modest number, since divided by 5060 gives 2300 as remainder.
It is not an unprimeable number, because it can be changed into a prime (23005061) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057 + ... + 7903.
It is an arithmetic number, because the mean of its divisors is an integer number (1131312).
Almost surely, 223005060 is an apocalyptic number.
23005060 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 23005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27151488).
23005060 is an abundant number, since it is smaller than the sum of its proper divisors (31297916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23005060 is a wasteful number, since it uses less digits than its factorization.
23005060 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3892 (or 3890 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 23005060 is about 4796.3590357687. The cubic root of 23005060 is about 284.4075514805.
Adding to 23005060 its reverse (6050032), we get a palindrome (29055092).
The spelling of 23005060 in words is "twenty-three million, five thousand, sixty".
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