Base | Representation |
---|---|
bin | 1110101010101… |
… | …11100011010000 |
3 | 22120112011220010 |
4 | 13111113203100 |
5 | 222444321000 |
6 | 20113114520 |
7 | 3022561014 |
oct | 725274320 |
9 | 276464803 |
10 | 123042000 |
11 | 634aa304 |
12 | 35258a40 |
13 | 1c650723 |
14 | 124ac544 |
15 | ac06d50 |
hex | 75578d0 |
123042000 has 80 divisors (see below), whose sum is σ = 396706752. Its totient is φ = 32809600.
The previous prime is 123041993. The next prime is 123042001. The reversal of 123042000 is 240321.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123042001) 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, 4254 + ... + 16253.
Almost surely, 2123042000 is an apocalyptic number.
123042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123042000 is an abundant number, since it is smaller than the sum of its proper divisors (273664752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123042000 is a wasteful number, since it uses less digits than its factorization.
123042000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20533 (or 20517 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 123042000 is about 11092.4298510290. The cubic root of 123042000 is about 497.3755822979.
Adding to 123042000 its reverse (240321), we get a palindrome (123282321).
The spelling of 123042000 in words is "one hundred twenty-three million, forty-two thousand".
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