Base | Representation |
---|---|
bin | 101100001001… |
… | …0000000111100 |
3 | 1121112202111011 |
4 | 1120102000330 |
5 | 21411024320 |
6 | 2144005004 |
7 | 400464505 |
oct | 130220074 |
9 | 47482434 |
10 | 23142460 |
11 | 12077300 |
12 | 7900764 |
13 | 4a43883 |
14 | 3105bac |
15 | 207205a |
hex | 161203c |
23142460 has 72 divisors (see below), whose sum is σ = 54564048. Its totient is φ = 8236800.
The previous prime is 23142421. The next prime is 23142463. The reversal of 23142460 is 6424132.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23142463) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176595 + ... + 176725.
It is an arithmetic number, because the mean of its divisors is an integer number (757834).
Almost surely, 223142460 is an apocalyptic number.
23142460 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 23142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27282024).
23142460 is an abundant number, since it is smaller than the sum of its proper divisors (31421588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23142460 is a wasteful number, since it uses less digits than its factorization.
23142460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 235 (or 222 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 23142460 is about 4810.6610772325. The cubic root of 23142460 is about 284.9726453688.
Adding to 23142460 its reverse (6424132), we get a palindrome (29566592).
It can be divided in two parts, 2314 and 2460, that added together give a palindrome (4774).
The spelling of 23142460 in words is "twenty-three million, one hundred forty-two thousand, four hundred sixty".
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