Base | Representation |
---|---|
bin | 101100001000… |
… | …1111010011010 |
3 | 1121112201220200 |
4 | 1120101322122 |
5 | 21411021132 |
6 | 2144003030 |
7 | 400463340 |
oct | 130217232 |
9 | 47481820 |
10 | 23142042 |
11 | 12076a60 |
12 | 7900476 |
13 | 4a43621 |
14 | 3105990 |
15 | 2071d7c |
hex | 1611e9a |
23142042 has 96 divisors (see below), whose sum is σ = 63797760. Its totient is φ = 5888160.
The previous prime is 23142017. The next prime is 23142107. The reversal of 23142042 is 24024132.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81633 + ... + 81915.
It is an arithmetic number, because the mean of its divisors is an integer number (664560).
Almost surely, 223142042 is an apocalyptic number.
23142042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 23142042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31898880).
23142042 is an abundant number, since it is smaller than the sum of its proper divisors (40655718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23142042 is a wasteful number, since it uses less digits than its factorization.
23142042 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 368 (or 365 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 23142042 is about 4810.6176318639. The cubic root of 23142042 is about 284.9709296295.
Adding to 23142042 its reverse (24024132), we get a palindrome (47166174).
It can be divided in two parts, 2314 and 2042, that added together give a square (4356 = 662).
The spelling of 23142042 in words is "twenty-three million, one hundred forty-two thousand, forty-two".
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