Base | Representation |
---|---|
bin | 101100001000… |
… | …1101010001000 |
3 | 1121112200111002 |
4 | 1120101222020 |
5 | 21411003000 |
6 | 2143554132 |
7 | 400460321 |
oct | 130215210 |
9 | 47480432 |
10 | 23141000 |
11 | 120761a3 |
12 | 78bb948 |
13 | 4a42ccc |
14 | 3105448 |
15 | 20718d5 |
hex | 1611a88 |
23141000 has 64 divisors (see below), whose sum is σ = 55064880. Its totient is φ = 9100800.
The previous prime is 23140963. The next prime is 23141017. The reversal of 23141000 is 14132.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 81796 + 23059204 = 286^2 + 4802^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72842 + ... + 73158.
Almost surely, 223141000 is an apocalyptic number.
23141000 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 23141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27532440).
23141000 is an abundant number, since it is smaller than the sum of its proper divisors (31923880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23141000 is a wasteful number, since it uses less digits than its factorization.
23141000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 411 (or 397 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 23141000 is about 4810.5093285431. The cubic root of 23141000 is about 284.9666525053.
Adding to 23141000 its reverse (14132), we get a palindrome (23155132).
The spelling of 23141000 in words is "twenty-three million, one hundred forty-one thousand".
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